Question Number 148326 by Odhiambojr last updated on 27/Jul/21

Find Lim_(x→∞) (e^x +x)

Answered by mathmax by abdo last updated on 27/Jul/21

lim_(x→+∞) x+e^x =lim_(x→+∞) e^x (xe^(−x) +1)=lim_(x→+∞) e^x =+∞ because lim_(x→+∞) xe^(−x) =0 lim_(x→−∞) x+e^x =lim_(x→−∞) x +lim_(x→−∞) e^(−x) =−∞+0=−∞