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Mathematics 21 Online
OpenStudy (raheelafzaal):

easy defination of limit?

OpenStudy (anonymous):

http://en.wikipedia.org/wiki/Limit_%28mathematics%29

OpenStudy (aravindg):

suppose u are going to see a suicide point as a part of ur tour Then u cannot go to the end of the cliff but u try to observe what's below from a distance , same is what we do while evaluating limits,we try to find what happens to a function at a point by finding out what happens to the function in the neighbouring points of the point under consideration.

OpenStudy (raheelafzaal):

aravindg plz tell me simple defination?

OpenStudy (raheelafzaal):

i want to write in exams

OpenStudy (aravindg):

:) ur qn is easy definition thats what i hav given above...wel why do they ask a definition in a math xam?

OpenStudy (raheelafzaal):

they ask defination with 2 marks

OpenStudy (aravindg):

try to understand what limit means ,read my explanation and i am sure they must explain it in ur text ,just understand it .there is no need to byheart a definition .write it in ur own words.

OpenStudy (anonymous):

What do you mean by simple definition? Do you want the most concise definition, or the most easily understood in colloquial language? The former would be something like this: The function \(f\) approaches the limit \(l\) near \(a\) means: for every \(\epsilon>0\) there is some \(\delta>0\) such that, for all \(x\), if \(0<|x-a|<\delta\), then \(|f(x)-l|<\epsilon\). The latter would be something like this: The function \(f\) approaches the limit \(l\) near \(a\), if we can make \(f(x)\) as close as we like to \(l\) by requiring that \(x\) be sufficiently close to, but unequal to, \(a\).

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