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

I need to solve this limit.

lim (x^4)(sin1/x)

x→0

2. Relevant equations

3. 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?

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# Does the lim x→0 of (x^4)(sin1/x) exist?

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