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

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To find the limit of (x - π/2)/cos(x) as x approaches π/2, we can use L'Hôpital's rule. Taking the derivative of the numerator and denominator, we get 1 and -sin(x) respectively. Substituting π/2 into the derivatives, we have 1 and -1. Therefore, the limit is 1/-1, which simplifies to -1.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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