If $f(x) = \left\{ \begin{array}{r} x\sin\frac{1}{x}\ \ \ \ \ x
eq 0 \ 0\ \ \ \ \ \ x = 0 \end{array} ight.\$, then $\lim_{x ightarrow 0}{f(x)}$ is equal to

Question

If $f(x) = \left\{ \begin{array}{r} x\sin\frac{1}{x}\ \ \ \ \ x 
eq 0 \ 0\ \ \ \ \ \ x = 0 \end{array} ight.\$, then $\lim_{x ightarrow 0}{f(x)}$ is equal to

Dr. Abubacker · Accepted Answer

(b)
$\lim_{x ightarrow 0}{f(x)} = \lim_{x ightarrow 0}{x.\sin\frac{1}{x}}$
$= 0 	imes finite\ term = 0$

Q. If $f(x) = \left\{ \begin{array}{r} x\sin\frac{1}{x}\ \ \ \ \ x \neq 0 \\ 0\ \ \ \ \ \ x = 0 \end{array} \right.\$, then $\lim_{x \rightarrow 0}{f(x)}$ is equal to

Explanation

Reviewed by Dr. Abubacker

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