# Write the Value of Lim X → C F ( X ) − F ( C ) X − C - Mathematics

Write the value of $\lim_{x \to c} \frac{f(x) - f(c)}{x - c}$

#### Solution

$\text{ Using the definition of derivative, we have }:$
$\lim_{x \to c} \frac{f\left( x \right) - f\left( x \right)}{x - c} = f'\left( c \right)$

Concept: The Concept of Derivative - Algebra of Derivative of Functions
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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 30 Derivatives
Q 1 | Page 46