Question

Предел lim x->∞ (√(x+1) - √(x))

Answer 1

lim x->∞ (√(x+1) - √(x))=[∞-∞]=lim x->∞ (x+1-x)/(√(x+1) +√(x))=lim x->∞ 1/(√x(√(1+1/x) - 1))=[1/∞]=0