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If  \mathrm{f(x)=\left|\log _{10} x\right|} then at \mathrm{x=1}

Option: 1

f is not continuous


Option: 2

f  is continuous but not differentiable


Option: 3

f is differentiable


Option: 4

the derivative is 1 .


Answers (1)

best_answer

Since \mathrm{g(x)=|x|}  is continuous but not differentiable at \mathrm{x=0}, so \mathrm{f} is continuous but not differentiable for \mathrm{\log _{10} x=0} i.e. for \mathrm{x=1}.

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