求数列的极限:lim(2^n)/[1+2^(n+1

求数列的极限:lim(2^n)/[1+2^(n+1)]

1个回答

n->正无穷时,1/2^n -> 0.
2^n/[1+2^(n+1)] = 1/[2+1/2^n] -> 1/[2+0] = 1/2
lim_{n->正无穷}2^n/[1+2^(n+1)] = 1/2

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