# For what values of x, if any, does #f(x) = cot((7pi)/12-x) # have vertical asymptotes?

For

Hence rearanging to yeild;

We can consider this by graphing; graph{cot( 7pi/12 -x) [-4.354, 5.644, -2.28, 2.72]}

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The function f(x) = cot((7pi)/12-x) has vertical asymptotes at x = (7pi)/12 + n*pi, where n is an integer.

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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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