Question Detail

MTH 102 Limits Objective Question

Question

According to the properties of limits, the limit of a sum \( [f(x) + g(x)] \) is equal to:
Options
A \( \lim f(x) \cdot \lim g(x) \)
B \( \lim f(x) + \lim g(x) \)
Correct Answer
C \( f(a) + g(a) \) only if they are constants
D The derivative of \( f(x) + g(x) \)
Correct Answer

Option B is the correct answer.

Detailed Explanation

The limit of a sum is the sum of the limits, provided those limits exist.

Hint

Property 3 of Limits.

Question Info