If fx x- ncosx - n1- x 2 x- 0 0 x-0 then-

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Definition of Functions

If fx x.ℓ n...

Question

If $f (x) ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \frac{x . ℓ n (c o s x)}{ℓ n (1 + x^{2})} x \neq 0 0 x = 0 \end{matrix}$ then-

f is continuous at

x = 0

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f is continuous at

x = 0

but not differentiable at

x = 0

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f is differentiable at

x = 0

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f is not ncontinuous at

x = 0

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Solution

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Similar questions

f (x) = {\begin{matrix} x sin \frac{1}{x} else where 0 x = 0 \end{matrix},

f (x)

f (x) = ⎧ ⎨ ⎩ \begin{matrix} x e^{- (\frac{1}{| x |} + \frac{1}{x})}, & x \neq 0 0, & x = 0 \end{matrix}

f (x) = x {tan}^{- 1} \frac{1}{x}

x \neq 0, f (0) = 0

f (x) = ⎧ ⎨ ⎩ \begin{matrix} x e^{- (\frac{1}{| x |} + \frac{1}{x})}, & i f x \neq 0 0, & i f x = 0 \end{matrix}

\to

_{0}

_{0}

_{0}

_{0}

_{0}

_{0}

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