# How do you find #lim cos(3theta)/(pi/2-theta)# as #theta->pi/2# using l'Hospital's Rule?

Look below

now do the derivative of the function

so the limit doesn't exist

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To find the limit ( \lim_{\theta \to \frac{\pi}{2}} \frac{\cos(3\theta)}{\frac{\pi}{2} - \theta} ) using L'Hôpital's Rule, differentiate the numerator and the denominator separately with respect to ( \theta ) and then take the limit again. Repeat this process until you obtain a determinate form.

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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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