Question Number 148694 by liberty last updated on 30/Jul/21

lim_(x→2) ((x^2 −2^x )/( ((x^x +x))^(1/5) −(6)^(1/5) )) =?

Commented bySozan last updated on 30/Jul/21

=lim_(x→2) (((2x − 2^x ln(2))/(((x^x [ln(x)+x]+1)/(5(((x^x +x)^4 ))^(1/5) )) ))) =(((4 − 4 ln(2))/(4 [ln(2) +2]+1)) × 5 (6^4 )^(1/5) ) →Sozan

Commented byliberty last updated on 30/Jul/21

L′Hopital

Commented bySozan last updated on 30/Jul/21

yes