# What is the limit of #sin[(pix) /(2-3x)]# as x approaches infinity?

thus we get:

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The limit of sin[(pix) /(2-3x)] as x approaches infinity 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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- What is the limit of # (x^2 − 5x)/(x^2 − 4x − 5)# as x approaches 5?

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