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## Homework Statement

Find the lim x-->0 x^2sin(e/x).

## Homework Equations

## The Attempt at a Solution

Using the limit laws I can say that

lim x-->0 x^2sin(e/x) = lim x-->0 x^2 * lim x-->0 sin(e/x)

lim x-->0 x^2=0; but lim x-->0 sin(e/x) however, is undefined...right?

So, the limit doesn't exist?