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

The limit is

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To find the limit of sin^2x/x as x approaches 0, we can use the concept of limits and trigonometric identities. By applying the limit definition, we can rewrite the expression as (sinx/x) * sinx. Since the limit of sinx/x as x approaches 0 is 1, the limit of sin^2x/x as x approaches 0 is equal to 1 * sin(0), which simplifies to 0. Therefore, the limit of sin^2x/x as x 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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