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  • Let f(x) be a function differentiable at x=c. Then  <img alt="\mathrm{\lim _{x \rightarrow c} f(x)}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Clim%20_%7Bx%2

Let f(x) be a function differentiable at x=c. Then  \mathrm{\lim _{x \rightarrow c} f(x)}  equals

Option: 1

\mathrm{f^{\prime}(c)}


Option: 2

\mathrm{f^{\prime \prime}(c)}


Option: 3

\mathrm{\frac{1}{f(c)}}


Option: 4

none of these.


Answers (1)

best_answer

Since f(x) is differentiable at x=c, therefore it is continuous at x=c. Hence, \mathrm{\lim _{x \rightarrow c} f(x)=f(c)}

Posted by

avinash.dongre

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