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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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.
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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