What really is limits in maths?
What is the use of the concept of limits in real life?
Wednesday, January 16, 2008
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This blog created by Fariel Mohan is to assist MATH110D students in understanding foundational mathematical concepts.
52 comments:
limits occur for example wen a curve reaches its maximum o minimum point
limits in real life show the maximum point somthing can reach before decreases for example the elastic limit wen bending an objeect b4 it breaks
as n(num) gets bigger, the closer it is to the maximum number but it will never be equal to the maximum number
limits is basically finding the highest value a number will go without surpassing another value which limits the first #.
limit in maths and in real life is the point on which there is no futher progression
'marz' your first comment is sorta confuffilling but one thing though, the number "can" be equal 2 the maximum number but it "cant" be over that amount.
'notice' wat do you mean by "there is no further progression" (mathematically)???
psychotic happy new year i dont agree with u totally i think the max # is the limit an u have to decrease an increase d max# to c the limit of your original #.
Does limits have a particular unit by which its value is derived?
psycothic
listen to pussin boots, that is what i meant. limits in life is a certain amount that you can go up to but cannot cross that amount. remember when miss said you it would not be equal to the maximum value
A limit is the highest point at which something can reach.In other words it is the point at which something can happen.
Why in some questions invloving limits that the expression is undefined?Also is it possible for an answer to the questions based on limits to be negative value and if so what are the factors in real life scenarios that can cause the answer to be negative.
the use of concepts of limits in real life is to show that you can't go any futher in what ever you are doing
For eg. if you are walking towards the end of a cliff, when you reach the edge that's the limit cause you can't walk any futher. it is the point on which your current motion is reversed, paused or stopped completely
to me,a limit is the point at which a certain value or commodity does not exist anymore.
PSYCHOTIC
i mean that it the point where your motion is changed! if you go up, your limit is where you can't go up any more, u either start to descend or stay where you are
TO EVERYONE:
CAN I LIMIT BE CROSSED?
my question is similar to jason's...can limits also be negative or at a minimum value of some sort?? because i dont think limits only means a maximum value or if u'd like to say a positive value...i may be wrong...
for example space alien said that "A limit is the highest point at which something can reach"...MY QUESTION---can a limit also be the lowest point at which that "something" can reach?
I think that a liimit is actually obtaining the highest possible value in which something can exist at.
i think that a limit is a certian point that can be reached. in real life when you are driving a car there is a certain speed limit that cannot be crossed so too is in maths there is a limit to most things
in real life, people usually set limits for themselves ... for instance, wen a group of frens go out to lime, the driver would drink a certain amount of alcohol (if he is drinking) not so much to get drunk... therefore the fact that he decides to have a certain amount of alcohol shows that he sets a limit for himself
i think that it all boils down to infinity when it comes to limitation
infinity is not a number, so we say a value approaches infinity or its limit is infinity
to Ratman and others YES there can be a negative infinity and a number can approach negative infinity
if limits represent the maximum or minimum point of something, can it have a negative value or be equal to zero?
cool face i agree with u that a limit is when a curve reaches its maximum or minimum point, also a nex example could possibly be when an object that was originally at an unbalance equlibrium begins to falls.
limits is the points at given intervals fro example the limits for a graph the range would be like -2 to 2.
also there are always limits to everyday life, when you have reached the max of tolences of a person ,thing or emotions.
at times you might want to give up and forget everything, thats like reaching the limit to where one can take or handle a situation, furthermore in my experiences i have learned where my limits are
i agree with you ,sparkles, but to numbers its almost the same, that is , a certain number can be used in the equation given to obtain whether the function is continuous.
To Notice:
That is a good question. I think that a limit can be described as a threshold and like all thresholds it can be crosed to produce an unexpected and random solution.
i don't know if the question is about limits in real life. if it is then a limit is the maximum point of some quantity, however in maths, a limit to me is a range of values used to compute the actual value that a point on the curve exists at.
Real life is full of constants. there is also constant change. The concept of infinity comes to mind. if i where to plot a graph, even though my graph may stop at the edge of the page the graph may not necesarily end or the entire representation of the graph however the page can only allow you to show a specific amount of information. without limits like this some processes would never be controlled or stopped. a specific value or boundary which cannot be surpassed must exist. you can get extreemly close to it equal it but never pass it.
annother example is a car. a car is designed to travel at a certain speed. it my be able to go at 130km perhour if the conditions are adequate. some may argue the car can go faster if you give it more gas. but wouldnt there be a point where the car wouldn't be able to go faster. this may happen due to a malfunction or some other factor. but who can tell the exact moment the car met its actual limit. it may have come very close to it and failed or it may have failed at the exact moment it arrived at its limit. in maths there will be a point when a equation is satisfied when all unknowns have gained a value is that the sums limit?
limits are the highest and the lowest points on a graph or something. eg.
the term limits confuses me. i think it means the maximum or minimum point sumthing can reach
TO EVERYONE!
I WOULD LIKE YOU'LL TO REMOVE THE THOUGHT OF BOUNDARIES AND STOP POINTS FROM YOUR MINDS WHEN YOU THINK ABOUT LIMITS. AND TAKE FOR EXAMPLE, THE SPEED LIMIT FOR VEHICLES!
a limit for example if one side of a square is close to 4, the area will be close to 16
No one has responded to my comment. if you think my satement incorrect let me know, give a correction and an example of what you think is right. As for "Notice" I belive you are incorrect in your last statement. The whole perpous of a limit is haveing an end point. or at least a point that cannot be surpassed .
so what alluh really saying is dat limits is some sort of a range of some sort ent? like from a minimum to a maximum..??? and it cannot be crossed rite? some sort of boundry rite??? riteeeee ah now understand ..ah feeling brite..i neva thought dis blogspot thingy wudda work uh noe..
i think limits in maths means the points on the graph at which the function is continuous or exists. the function does not exist at any point beyond the limits.
i think limits in maths means the points on the graph at which the function is continuous or exists. the function does not exist at any point beyond the limits.
its importance is to know when a question cannot be simplified anymore.
i THINK limits are the boundaries of values upon which coordinates, points or values can exist or are undefined on a line or curve
the importance of limits in real life is that the point of completion be met or solved at a certain point so that it is not exceeded, is it not?
in a real life situation limits may refer to boundaries which may not be exceeded.. eg filling of a tank...correct me if im wrong.
limits is where a point ends that is the limit of (fx) is where (x) works out in the equation for example if u u plug in(x)in the equation if u get an ans u leave it aws it is, but if u do not get an ans like infinity/infinity u have to divided every term by the highest power on (x) and if get (0) u simplify and then sub.
i know what limits is in real life i agree with cool-face. i think it is the maximum or minimum point something can reach or the highest or lowest possible points. like if masses are continually added to a spring it will extend until its elastic limit is reached and after this point it will be deformed. but in maths i'm still not quite sure is it the same concept? i know a little about values being continuous and not continuous and it has something to do with limits but i'm still confused why and how there are limits.
what relation does limits have to do with gradients if there is any?
a limit can be understood as reach or obtaining the highest possible value without surpassing the maximum value
Limits is the maximum or minimum value that can be used. It restricts you from using any value other than the one given.In real life limits are used to set levels of control or boundaries to which one can handle or uphold.
In mathematics, the idea of a "limit" is used to describe the behavior of a function f(x) as its argument (x)"gets close" to some point.Limits are used in calculus and other branches of mathematical analysis to define derivatives.It is also a major part in our daily lives.
In mathematics, the concept of a "limit" is used to describe the behavior of a function as its argument either "gets close" to some point, or as it becomes arbitrarily large; or the behavior of a sequence's elements as their index increases indefinitely. Limits are used in calculus and other branches of mathematical analysis to define derivatives and continuity.
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