Uni. Maths: Real Analysis

2010-12-18 7:44 am
Let {a_n} be a sequence of positive real numbers such that

lim(n->00) a_(n+1)/a_(n) = l and lim(n->00) [a_n]^(1/n) = r

for some l , r in (0,1) . Show that l = r . Can the assumption that l , r <1 be dropped?

回答 (2)

2010-12-18 8:34 am
Looks like a prove of Ratio test and Root test


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