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Question
Mark the correct alternative in each of the following:
If\[f\left( x \right) = \frac{x^n - a^n}{x - a}\] then \[f'\left( a \right)\]
Options
1
0
\[\frac{1}{2}\]
does not exist
Solution
Given:
\[f\left( x \right) = \frac{x^n - a^n}{x - a}\]
Now, f(x) is not defined at x = a. Therefore, f(x) is not differentiable at x = a. \[f'\left( a \right)\] does not exist.
Hence, the correct answer is option (d).
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