Question Number 148819 by mathlove last updated on 31/Jul/21

Answered by liberty last updated on 31/Jul/21

lim_(x→0) (x/((1+(x^2 /n))−(1+(x/n)))) = lim_(x→0) (x/((x/n)(x−1))) = lim_(x→0) (n/(x−1))=− n

Answered by Kamel last updated on 31/Jul/21

L=lim_(x→0) (1/( ((((1+x^2 ))^(1/n) −1)/x)−((((1+x))^(1/n) −1)/x)))=(1/(−(1/n)))=−n