# What is the limit as x approaches 0 of #tan(6x)/sin(2x)#?

The answer is 3:

How did I get there?

Let's apply this rule to our problem.

Now, all we need to do is combine both of them.

And there you have your final answer. Let me know if anything is not clear. I hope this helped.

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By de Moivre's theorem:

Equating imaginary parts:

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The limit as x approaches 0 of tan(6x)/sin(2x) is 3.

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