# What is the limit of #sin(2x)/x^2# as x approaches 0?

by l'H

Since

which means that

Let us look at the graph of

The graph above indeed agrees with our conclusion.

I hope that this was helpful.

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The limit of ( \frac{\sin(2x)}{x^2} ) as ( x ) approaches 0 is 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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