Use the squeeze theorem to show that lim(n->infinity) (5+2n+7(n^2))^(1/n) = 1 and lim(n->infinity) (ln(n))^(1/n) = 1 Thanks so much.
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Originally Posted by winterwyrm Use the squeeze theorem to show that lim(n->infinity) (5+2n+7(n^2))^(1/n) = 1 and lim(n->infinity) (ln(n))^(1/n) = 1 Thanks so much. I willl do the second one and you do the first. Ok? We know that Also we know that Now remaining inequality we see that Now we know that if we define That and We can see that This implies that Now obviously and less obviously we can see that
Originally Posted by winterwyrm Use the squeeze theorem to show that lim(n->infinity) (5+2n+7(n^2))^(1/n) = 1 .
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