Limit of Trigonometric Function....2

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nycmathdad
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Find the limit of csc(2x) as x tends to pi/2 from the right side.

I decided to graph the function. Based on the graph, I stated the answer to be positive infinity.
According to the textbook, the answer is negative infinity. Why is negative infinity the right answer?

Thanks
 
on Phys.org
Problem 1.5.39.
Odd numbered.
Look up the answer and graph it.