Lim x tends to π÷2 , then what is the value of (tanx + cotx) ÷ ( tanx - cotx)

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(tan(*x*) + cot(*x*)) / (tan(*x*) - cot(*x*)) = (tan²(*x*) + 1) / (tan²(*x*) - 1)

… = (sin²(*x*) + cos²(*x*)) / (sin²(*x*) - cos²(*x*))

… = -1/cos(2*x*)

Then as *x* approaches *π*/2, the limit is -1/cos(2•*π*/2) = -sec(*π*) = **1**.

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