# What is the limit #lim_(x->0)(cos(x)-1)/x#?

Stated differently, the derivative of two functions has a limit equal to the limit of the quotient of its derivatives.

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The limit of (cos(x) - 1) / x as x approaches 0 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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