MHB Limit of Trigonometric Function....2

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
 
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Problem 1.5.39.
Odd numbered.
Look up the answer and graph it.
 
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