Rewrite as a product.

Write as a fraction with denominator .

Simplify.

Divide by .

Convert from to .

Split the limit using the Product of Limits Rule on the limit as approaches .

Move the limit inside the trig function because cosine is continuous.

Move the limit inside the trig function because cosecant is continuous.

Move the term outside of the limit because it is constant with respect to .

Evaluate the limit of by plugging in for .

Evaluate the limit of by plugging in for .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Evaluate the Limit limit as n approaches (pi/2) of (cos(n))/(sin(2n))