Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{\sqrt{x+1} + 1}{\sqrt{x+1} - 1} \) as \( x \) tends to infinity.
Options
A 1
Correct Answer
B -1
C 0
D Infinity
Correct Answer

Option A is the correct answer.

Detailed Explanation

Dividing by ( \sqrt{x} ), the terms involving ( \frac{1}{\sqrt{x}} ) approach zero, leaving ( \frac{1}{1} = 1 ).

Hint

Exercise 1.1, Question 21.

Question Info