Question Detail

MTH 102 Limits Objective Question

Question

What is the limit of \( [f(x)]^n \) as \( x \) approaches \( a \)?
Options
A \( [\lim f(x)]^n \)
Correct Answer
B \( n \lim f(x) \)
C \( f(a)^n \)
D \( \lim [f(x)^n] \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

The limit of a power is the power of the limit.

Hint

Property 6 on page 13.

Question Info