# How do you find the limit of #(sin(t^2))/t# as t approaches 0?

Thus, applying L'Hopital's rule:

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To find the limit of (sin(t^2))/t as t approaches 0, we can use L'Hôpital's Rule. Taking the derivative of the numerator and denominator separately, we get 2t*cos(t^2) for the numerator and 1 for the denominator. Evaluating the limit of these derivatives as t approaches 0, we find that the limit is 0. Therefore, the limit of (sin(t^2))/t as t approaches 0 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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