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Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.lim x→∞ x5/x

Question

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.lim x→∞ x5/x

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Solution

To find the limit of the function as x approaches infinity, we can simplify the function first.

The function is x^5 / x. We can simplify this by canceling out one of the x's.

This gives us x^4.

Now, as x approaches infinity, x^4 also approaches infinity.

So, the limit of the function as x approaches infinity is infinity.

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