Question

n+1的开方与n的开方的差除以n的开方与n-1的开方的极限

Answer 1

lim(√n+1-n)/(√n-√n-1)

n->∞

=lim(√n+√n-1)/(√n+1+n)

n->∞

=lim(1+√1-1/n)/(√1+1/n+1)

n->∞

=(1+1)/(1+1)

=1