# Find the limit as x approaches infinity of #(x^(ln2))/(1+lnx)#?

Let us use l'Hopital's Rule to find the limit. #lim_{x to infty}{x^{ln2}}/{1+lnx} =lim_{x to infty}{(ln2)x^{ln2-1}}/{1/x} = (ln2)lim_{x to infty}{x^{ln2}x^(-1)}/{x^-1} #

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The limit as x approaches infinity of (x^(ln2))/(1+lnx) is infinity.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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