# For what values of x, if any, does #f(x) = sec((-11pi)/6-7x) # have vertical asymptotes?

We need to consider the definition of:

Hence:

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The function f(x) = sec((-11pi)/6-7x) has vertical asymptotes when the value inside the secant function, (-11pi)/6-7x, equals odd multiples of pi/2.

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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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- How do you prove that the limit of #(x^2) =9 # as x approaches -3 using the epsilon delta proof?
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- How do you find the limit of #sinx / x# as x approaches infinity?

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