lim(1/2+1/2^2...+1/2^n)/(1/3+1/3^2...1/3^n) 求极限lim(1/2+1/2^2...+1/2^n)/(1/3+1/3^2...1/3^n) 求极限

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lim(1/2+1/2^2...+1/2^n)/(1/3+1/3^2...1/3^n) 求极限lim(1/2+1/2^2...+1/2^n)/(1/3+1/3^2...1/3^n) 求极限

lim(1/2+1/2^2...+1/2^n)/(1/3+1/3^2...1/3^n) 求极限lim(1/2+1/2^2...+1/2^n)/(1/3+1/3^2...1/3^n) 求极限
lim(1/2+1/2^2...+1/2^n)/(1/3+1/3^2...1/3^n) 求极限
lim(1/2+1/2^2...+1/2^n)/(1/3+1/3^2...1/3^n) 求极限

lim(1/2+1/2^2...+1/2^n)/(1/3+1/3^2...1/3^n) 求极限lim(1/2+1/2^2...+1/2^n)/(1/3+1/3^2...1/3^n) 求极限
原式=lim(n->∞){[(1/2)(1-1/2^n)/(1-1/2)]/[(1/3)(1-1/3^n)/(1-1/3)]}
=[(1/2)/(1-1/2)]/[(1/3)/(1-1/3)]
=2.

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