Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{x^2 + \sqrt{x} + 2}{x^2 - 11} \) as \( x \) approaches 2.
Options
A 0
B \( \frac{6 + \sqrt{2}}{-7} \)
Correct Answer
C -1
D 1
Correct Answer

Option B is the correct answer.

Detailed Explanation

Direct substitution: ( \frac{4 + \sqrt{2} + 2}{4 - 11} = \frac{6 + \sqrt{2}}{-7} ).

Hint

Exercise 1.1, Question 20.

Question Info