# What is the limit as x approaches infinity of #((2x-3)/(2x+5))^(2x+1)#?

by moving the limit inside the exponential function,

by cleaning up a bit,

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The limit as x approaches infinity of ((2x-3)/(2x+5))^(2x+1) is e^(-8).

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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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