- #1

Krushnaraj Pandya

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## Homework Statement

lim x--->0 |x|^sinx is?

## Homework Equations

lim x-->0 f(x)^g(x), if both functions tend to 0, limit is equal to e^log[f(x).g(x)] with the same limit..(i)

## The Attempt at a Solution

when x>0, it is x^sinx and x<0 it is -1/x^sinx. putting the first case in (i) we get e^log(x.sinx), since log0 is minus infinite, the answer should be 0 but its 1, I don't know how to evaluate the second case either. I'd appreciate some help, thank you