# How do you find the limit of #tan^2x/x# as #x->0#?

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To find the limit of tan^2x/x as x approaches 0, we can use L'Hôpital's Rule. Taking the derivative of both the numerator and denominator, we get 2tan(x)*sec^2(x)/1. Evaluating this expression as x approaches 0, we find that the limit is 0.

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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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