lim(n趋向于无限大)1+2^2+2^4+...+2^2n/4^n
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lim(n趋向于无限大)1+2^2+2^4+...+2^2n/4^n
lim(n趋向于无限大)1+2^2+2^4+...+2^2n/4^n
lim(n趋向于无限大)1+2^2+2^4+...+2^2n/4^n
1+2^2+2^4+...+2^2n=[2^(2n+2)-1]/(4-1)=[4^(n+1)]/3.
所以原式=[4*(4^n)]/[3*(4^n)]-1/[3*(4^n)]=4/3
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