# How do you find the limit of #tan^-1(1/x)# as #x->0^+#?

So:

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To find the limit of tan^-1(1/x) as x approaches 0 from the positive side, we can use the properties of the inverse tangent function. As x approaches 0 from the positive side, 1/x approaches positive infinity. The inverse tangent function approaches π/2 as its argument approaches positive infinity. Therefore, the limit of tan^-1(1/x) as x approaches 0 from the positive side is π/2.

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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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