



 
Hi Joseph, Let y = x^{sin(x)} then ln(y) = ln(x^{sin(x)}) = sin(x) ln(x). If you can show that the limit of sin(x) ln(x) = a as x approaches zero from the right then the limit of x^{sin(x)} is e^{a} as x approaches zero from the right. I used l'Hopital's rule to evaluate the limit of sin(x) ln(x) as x approaches zero from the right. Harley  


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