# What is the limit of #(sin(1-cos x))/(x) # as x approaches 0?

It is

Two fundamental trigonometric limits are:

This question combines them.

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