# What is the limit as #x# approaches #2# for #sin(x^2 - 3x + 2)/x^2 - 2#?

Evaluate through substitution.

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The limit as x approaches 2 for sin(x^2 - 3x + 2)/x^2 - 2 is 1/2.

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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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