Lim((x-5)/(2-√(x-1))=(5-5)/(2-√(5-1))=0/0
x->5
lim((x-5)/(2-√(x-1))=lim((x-5)*(2+√(x-1)))/((2-√(x-1))*(2+√(x-1))=
x->5 x->5
lim((x-5)*((2-√(x-1)))/(2²-(√(x-1))²)=lim((x-5)*(2+√(x-1)))/(4-x+1))=
x->5 x->5
lim((x-5)*(2+√(x-1))/(x-5))=lim(2+√x-1))=2+√(5-1)=2+2=4
x->5 x->5