# How do you find #lim cosx/x# as #x->0^+#?

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Plugging in the Maclaurin expansion into the limit gives:

Simplifying gives:

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To find the limit of cos(x)/x as x approaches 0 from the positive side, we can use L'Hôpital's Rule. By differentiating both the numerator and denominator, we get -sin(x)/1. Evaluating this expression at x=0, we find that the limit 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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