Question Detail

MTH 102 Limits Objective Question
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Question

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

Option B is the correct answer.

Detailed Explanation

After rationalising the numerator and simplifying, the limit is ( \frac{1}{2\sqrt{x}} ).

Hint

Model Question 9.

Question Info

Course: MTH 102
Topic: Limits
Type: Objective
Difficulty: Not specified
Question 25 of 930
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