Lim 2√х+3−4/х−1 (x+3 - под корнем, 2√х+3−4 - числитель, х-1 - знаменатель) x- больше 1

lim((2√(x+3)-4)/(x-1))=(2*√(1+3)-4)/(1-1)=0/0 x->1 lim((2√(x+3)-4)/(x-1))= x->1 =lim((2√(x+3)-4)*(2√(x+3)+4))/((x-1)*(2√(x+3)+4))= x->1 =lim((2√(x+3))²-4²)/((x-1)*(2√(x+3)+4)= x->1 =lim(4*(x+3)-16)/((x-1)*(2√(x+3)+4))= x->1 =lim(4x-4)/((x-1)*(2√(x+3)+4))= x->1 =lim(4*(x-1))/((x-1)*(2(√(x+1)+2))= x->1 =lim4/2(√(x+3)+2)=lim2/(√(x+3)+2)=2/(√(1+3)+2)=2/4=1/2=0,5 x->1