Question Detail

MTH 102 Limits Objective Question
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Question

Evaluate the limit of \( \frac{5 - \sqrt{x}}{x - 25} \) as \( x \) tends to 25.
Options
A \(\frac{1}{10}\)
B \(-\frac{1}{10}\)
Correct Answer
C 0
D Undefined
Correct Answer

Option B is the correct answer.

Detailed Explanation

Factor the denominator as ( (\sqrt{x} - 5)(\sqrt{x} + 5) ). The numerator is ( -(\sqrt{x} - 5) ). Result is ( -\frac{1}{\sqrt{x} + 5} ). At ( x=25 ), this is ( -\frac{1}{10} ).

Hint

Exercise 1.1, Question 30.

Question Info

Course: MTH 102
Topic: Limits
Type: Objective
Difficulty: Not specified
Question 65 of 930
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