If the function f(x)= 10x x , x 0 is continuous at x = 0, find f(… - Vidyadip

Question

If the function $\text{f(x)}=\frac{\sin10\text{x}}{\text{x}},\text{ x}\neq0$ is continuous at x = 0, find f(0).

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Answer

Since f(x) is continuous at x = 0, $\text{f}(0)=\lim\limits_{{\text{x}}\rightarrow0}\frac{\sin10\text{x}}{\text{x}}=10$

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