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  • Need solution for RD Sharma maths class 12 chapter 9 Differentiability exercise Very short answer type question 11

Need solution for RD Sharma maths class 12 chapter 9 Differentiability exercise Very short answer type question  11

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Answer:f(c)

Hint: If a function is differentiable then it is continuous

Given:  \lim _{x \rightarrow c} \frac{f(x)-f(c)}{x-c} exists

 

Explanation:  From above we know if limit exists then it is differentiable and every differentiable function is continuous .

So, from the definition of continuity \lim _{x \rightarrow c} \mathrm{f}(\mathrm{x})=\mathrm{f}(\mathrm{c})

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