Define limit of a function. - Vidyadip

Question

Define limit of a function.

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Answer

The function $f(x)$ has a limit $l$ as $x$ tends to $‘a’$ if for each given predetermined $ε > 0;$ however small, we can find a positive number $δ$ such that $ |f(x) - l | > ε ($Epsilon$)$ for all $x$ such that $|x - a| < δ .$

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