Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{\sqrt{x+1} - 1}{x} \) as \( x \) tends to infinity.
Options
A 0
Correct Answer
B 1
C Infinity
D \(\frac{1}{2}\)
Correct Answer

Option A is the correct answer.

Detailed Explanation

As ( x ) grows infinitely, the square root of ( x ) in the numerator grows slower than ( x ) in the denominator, approaching 0.

Hint

Exercise 1.1, Question 5.

Question Info