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## Homework Statement

I need to solve this limit.

lim (x^4)(sin1/x)

x→0

## Homework Equations

## The Attempt at a Solution

Since as 1/x → 0+, the limit is +∞ but when 1/x → 0-, the limit is -∞. Since these two-sided limits don't match I thought the limit could not be calculated. apparently this is incorrect. any thoughts?