# What is the limit of #(cos(3x)-cos(4x))/x^2# as x approaches #oo#?

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The limit of (cos(3x)-cos(4x))/x^2 as x approaches infinity 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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- What is the limit of #(3x^2+20x)/(4x^2+9)# as x goes to infinity?

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