Question Detail

MTH 102 Limits Objective Question

Question

What is the limit of \( \frac{\sqrt{x} - \sqrt{a}}{x - a} \) as \( x \) approaches \( a \)?
Options
A \( \frac{1}{2\sqrt{a}} \)
Correct Answer
B \( \sqrt{a} \)
C \( 2\sqrt{a} \)
D 0
Correct Answer

Option A is the correct answer.

Detailed Explanation

This is the derivative of ( \sqrt{x} ) at ( x=a ).

Hint

Derivative definition.

Question Info