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## Homework Statement

## Homework Equations

## The Attempt at a Solution

let y = lim x->0+ x^cos(1/x)

lny = cos(1/x)*lnx = (x*cos(1/x)) * (lnx/x)

x*cos(1/x) = 0 (sandwich theorem)

lnx/x = 0 (l'hopital)

so lny = 0

and y = 1

Is this correct?