求和(0.5)^(n-k) k从0到正无穷

2025-06-26 01:26:00
推荐回答(2个)
回答1:

lim(m->∞) ∑(i:0->m) (0.5)^(n-i)
=lim(m->∞) (0.5)^n ( 1- (0.5)^(m+1) )/( 1-0.5)
=lim(m->∞) (0.5)^(n-1) ( 1- (0.5)^(m+1) )
=(0.5)^(n-1)

回答2: