Question Number 104606 by john santu last updated on 22/Jul/20

lim_(x→0) {((x−1)/(∣x−1∣)) + ∣x∣}=?

Answered by bobhans last updated on 22/Jul/20

(1)lim_(x→0^+ ) {((x−1)/(∣x−1∣)) + ∣x∣ } = lim_(x→0^+ ) {((x−1)/(x−1))+x}=1  (2) lim_(x→0^− ) {((x−1)/(∣x−1∣))−x}=lim_(x→0^+ ) {((x−1)/(x−1))−x}=1

Answered by bramlex last updated on 22/Jul/20