Let f(x)= cases x x ,&x0

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let f(x)={sin⁡xx,x<0,1,x>0.f(x)=\begin{cases}\dfrac{\sin x}{x},&x<0,\\1,&x>0.\end{cases} Evaluate lim⁡x→0f(x)\displaystyle\lim_{x\to0}f(x). (a) 00 (b) 11 (c) π180\dfrac{\pi}{180} (d) Does not exist

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