# What is the limit as x approaches infinity of #x^(ln2)/(1+ln x)#?

This can be found by using L'Hospital's Rule, which states that every limit of a fraction is equal to the limit of the derivatives of the fraction. More formally:

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The limit as x approaches infinity of x^(ln2)/(1+ln x) 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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- For what values of x, if any, does #f(x) = 1/((x-9)(x-1)(x-3)) # have vertical asymptotes?

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