# How do you find the limit of #arctan(e^x) # as x approaches #oo#?

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To find the limit of arctan(e^x) as x approaches infinity, we can use the fact that the arctan function has a range of (-π/2, π/2). As x approaches infinity, e^x also approaches infinity. Therefore, arctan(e^x) approaches π/2 as x approaches 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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- How do you find the limit of #ln(t)^2/ (t)# as t approaches infinity?
- How do you find the limit of #((sqrtx+4)-3)/(x-6)# as x approaches 6?

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