- #1
ohreally1234
- 13
- 0
Homework Statement
Consider the sequence a_n = abs(sin(x))^(1/x)
Find the lim a_n if it exists
Homework Equations
None. This is for my calc 2 class.
The Attempt at a Solution
We are studying the sandwich theorem, so I thought 0 < M^(1/x) < abs(sin(x))^(1/x) < 1^(1/x).
(Because I assumed that sequences imply x = 1, 2, 3, 4 ..., so sin(x) never equals 0).
Since M^(1/x) and 1 both tend to 1, I reasoned a_n must go to 1.
Last edited: