求下通项为下式的数列极限Lim  ((-2)n+3n)/((-2)n+1+3n+1)n→∞= Lim   (1+(-2/3)n)/(1+(-2/3)n+1)*(1/3)n→∞=1/3

问题描述:

求下通项为下式的数列极限
Lim  ((-2)n+3n)/((-2)n+1+3n+1)n→∞= Lim   (1+(-2/3)n)/(1+(-2/3)n+1)*(1/3)n→∞=1/3

你好!
lim(n→+∞) [(-2)^n + 3^n ] / [ (-2)^(n+1) + 3^(n+1) ]
= lim(n→+∞) [ (-2/3)^n +1 ] / [ -2*(-2/3)^n + 3 ]
= 1/3