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प्रश्न
If \[f\] is differentiable at \[c\], which limit equals \[f'(c)\]?
पर्याय
\[\lim_{x\to c}[f(x)-f(c)]=f'(c)\]
\[\lim_{x\to c}\frac{f(x)+f(c)}{x-c}=f'(c)\]
\[\lim_{x\to c}\frac{f(x)-f(c)}{x-c}=f'(c)\]
\[\lim_{x\to c}\frac{f(x)-f(c)}{x+c}=f'(c)\]
MCQ
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उत्तर
Differentiability at \[c\] gives the difference-quotient limit with denominator \[x-c\]. That limit is precisely the derivative \[f'(c)\].
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