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what is the exact definition of limit?

OCW Scholar - Single Variable Calculus
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Wikipedia has an article, Limit of a function, that might help:
A limit is basically the value of something that approaches something else (as simple as I can put it).
limit, i wont define it, but i will tell you something about limits. Limit knows this, knowing the function value of a point of a function is useless, it is not applicable in real life. but knowing what happens, the behavior of the function as it moves towards a point, that makes some sense. Limit, is the backbone of calculus.

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Other answers:

limit is actually a tool to find the value of a function at a point where its value exist or may be some of its indeterminate form...graphically the value of y when x approaches a definite point....u hv ne query in limit ..i may help to sort it out |dw:1355174021983:dw| for this fn y=x x=2 lim. of f(x)=2...

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