(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the sequence a_n = abs(sin(x))^(1/x)

Find the lim a_n if it exists

2. Relevant equations

None. This is for my calc 2 class.

3. 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.

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# Homework Help: Limit of an absolute sequence

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