# How do you find the limit of #cos(x)/(x - pi/2) # as x approaches pi/2?

graph{cosx/(x - pi/2) [-7.023, 7.024, -3.51, 3.513]}

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To find the limit of cos(x)/(x - pi/2) as x approaches pi/2, we can use L'Hôpital's Rule. Taking the derivative of both the numerator and denominator, we get -sin(x)/1. Evaluating this at x = pi/2, we have -sin(pi/2)/1, which equals -1. Therefore, the limit of cos(x)/(x - pi/2) as x approaches pi/2 is -1.

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