SOLUTION: Find limit(x goes towards 0) [xsin(1/x)] ? I know the answer should be 0 but am unsure of how to get that. I also know that limit(x goes towards 0) sinx/x = 1, but am not sure

Question 775765: Find limit(x goes towards 0) [xsin(1/x)] ?
I know the answer should be 0 but am unsure of how to get that. I also know that limit(x goes towards 0) sinx/x = 1, but am not sure if that helps in this question?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
for all
or
for all
multiplying both sides times we get

Since

then

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