Let f(x)={(x−1)sin(x−11),ifx=10,ifx=1} . Then which one of the following is true?

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Let {f{{({x})}}}={{({x}−{1})}{{{({{1}}{{{x}−{1}}})}}},{{if}}{x

Question

Let $f (x) = {(x - 1) sin (\frac{1}{x - 1}), if x \neq = 10, if x = 1}$ . Then which one of the following is true?

f

is neither differentiable at

x = 0

and at

x = 1

f

is differentiable at

x = 0

but not at

x = 1

f is differentiable at

x = 0

but not at

x = 1

f

is differentiable at

x = 1

but not at

x = 0

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Jack Discussed

Let

f (x) = {(x - 1) sin (\frac{1}{x - 1}), if x \neq = 10, if x = 1}

. Then which one of the following is true?

11 mins ago

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Question Text

Let

f (x) = {(x - 1) sin (\frac{1}{x - 1}), if x \neq = 10, if x = 1}

. Then which one of the following is true?