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lim(4^n+3^n)^(1/n)
 Sep 7, 2013

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lim{n->inf} (4^n + 3^n)^(1/n) = lim{n->inf} (4^n * (1 + 3^n/4^n))^(1/n)

lim{n->inf} 3^n/4^n = lim{n->inf} (3/4)^n = 0

lim{n->inf} (4^n * (1 + 3^n/4^n))^(1/n) = lim{n->inf} (4^n)^(1/n) = 4
 Sep 8, 2013

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