What happens to a function f(x) at x = a, if _ x f(x)=f(a)? - Vidyadip

Question

What happens to a function f(x) at x = a, if $\lim\limits_{{\text{x}}\rightarrow\text{a}}\text{f(x})=\text{f}(\text{a})?$

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Answer

If $\lim\limits_{{\text{x}}\rightarrow\text{a}}\text{f(x})=\text{f}(\text{a})$ then the function f(x) is continuse at x = a.

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