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  • g(x) = x f(x), where                       <img alt="\mathrm{ f(x)=\left\{\begin{array}{r} x \sin \left(\frac{1}{x}\right), x \neq

g(x) = x f(x), where
                      \mathrm{ f(x)=\left\{\begin{array}{r} x \sin \left(\frac{1}{x}\right), x \neq 0 \\ 0, x=0 \end{array}\right. }
at x=0

Option: 1

g is differentiable but g' is not continuous.


Option: 2

g is differentiable while f is differentiable.


Option: 3

both f and g are differentiable.


Option: 4

g is differentiable but g' is continuous.


Answers (1)

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Posted by

Deependra Verma

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