Question

高等数学第五节 极限的运算法则的题

Answer 1

一 1.原式 = lim(1/2)(n+1)(n+2)/n^2

= lim(1/2)(1+1/n)(1+2/n)/1 = 1/2.

2.原式 = lim[1-(1/2)^n]/(1-1/2) = 2.

3.原式 = lim[n+1-n]/[√(n+1)+√n] = 0.

4.原式 = lim(1+1/n)(2+3/n)(3+5/n)/5 = 6/5.

二 1.原式 = 1*2 = 2