Question Detail

MTH 102 Limits Objective Question

Question

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

Option B is the correct answer.

Detailed Explanation

Dividing by ( x ), we get ( \frac{2}{\sqrt{1 + 1/x^2}} ). At infinity, this is ( \frac{2}{1} = 2 ).

Hint

Exercise 1.1, Question 17.

Question Info