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It isn't a homework problem but I think I better post it here instead of Mathematics forum, since it belongs to "exam help".
Prove that for any positive real numbers a and b,
lim [(an+b)^{1/n}-1] = 0
n->inf
I don't need to use things like |a-b|<epsilon. A simple way will do. I know it's an easy question but I don't know where to start. Could someone please help.
Prove that for any positive real numbers a and b,
lim [(an+b)^{1/n}-1] = 0
n->inf
I don't need to use things like |a-b|<epsilon. A simple way will do. I know it's an easy question but I don't know where to start. Could someone please help.