If and , where denotes the greatest integer function, then find…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

l=\lim_{x\to1^+}2^{-2^{1-x}}

and

m=\lim_{x\to1^+}\frac{x\sin(x-[x])}{x-1}

, where

[\cdot]

denotes the greatest integer function, then find

l+m