# How do you find the limit of #sec3xcos5x# as x approaches infinity?

There is no limit. (The limit does not exist.)

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To find the limit of sec^3(x)cos(5x) as x approaches infinity, we can use the properties of limits and trigonometric identities.

First, we note that as x approaches infinity, sec^3(x) will approach infinity since sec(x) approaches infinity as x approaches infinity.

Next, we consider the behavior of cos(5x) as x approaches infinity. Since the cosine function oscillates between -1 and 1, it does not have a limit as x approaches infinity.

Therefore, the limit of sec^3(x)cos(5x) as x approaches infinity does not exist.

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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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- How do you find limits on a graphing calculator?

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