Question Number 101026 by 175 last updated on 29/Jun/20

lim_(x→∞)  (x/e^( sinx −x) )

Answered by mathmax by abdo last updated on 29/Jun/20

f(x) =(x/e^(sinx−x) ) =x e^x  e^(−sinx)  ⇒lim_(x→+∞) f(x) =lim_(x→+∞) xe^x  =+∞  and lim_(x→−∞) f(x) =lim_(x→−∞) xe^(−x)  =0