Evaluate limit as x approaches 0 of (tan(2x))/(sin(2x))

Math
Apply trigonometric identities.
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Rewrite in terms of sines and cosines.
Rewrite as a product.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Convert from to .
Take the limit of each term.
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Move the limit inside the trig function because secant is continuous.
Move the term outside of the limit because it is constant with respect to .
Evaluate the limit of by plugging in for .
Simplify the answer.
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Multiply by .
The exact value of is .
Evaluate limit as x approaches 0 of (tan(2x))/(sin(2x))

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