Question Number 149871 by ArielVyny last updated on 07/Aug/21

lim_(x→2) ((3^(x!) −9)/(x−2))

Answered by Ar Brandon last updated on 08/Aug/21

L=lim_(x→2) ((3^(x!) −9)/(x−2)) =lim_(x→2) ((Γ(x+1)ψ(x+1)3^(x!) ln3)/1) =Γ(3)ψ(3)3^(2!) ln3=2((1/2)+1−γ)9ln3 =9(3−2γ)ln3

Commented byArielVyny last updated on 08/Aug/21

thank sir