# What is the limit of #((2-x)^2(3-x)^2(1-x)) / (2-x^2)^2# as x goes to infinity?

The numerator has leading term

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The limit of ((2-x)^2(3-x)^2(1-x)) / (2-x^2)^2 as x goes to infinity is 1.

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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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