# How do you find the limit of #cosx/cotx# as #x->pi/2#?

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To find the limit of cos(x)/cot(x) as x approaches pi/2, we can simplify the expression using trigonometric identities.

First, we rewrite cot(x) as 1/tan(x).

cos(x)/cot(x) = cos(x)/(1/tan(x)) = cos(x) * tan(x).

Next, we substitute x = pi/2 into the expression:

cos(pi/2) * tan(pi/2) = 0 * ∞ = undefined.

Therefore, the limit of cos(x)/cot(x) as x approaches pi/2 is undefined.

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