# What is the limit of #(1-7/x)^x# as x approaches infinity?

It is

This is the limit of the logarithm, so the final result is obtained doing the exponential of this:

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The limit of (1-7/x)^x as x approaches infinity is 1/e^7.

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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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