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**1. Homework Statement**

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

Find the lim a_n if it exists

**2. Homework 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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