# For what values of x, if any, does #f(x) = sec((-7pi)/4-2x) # have vertical asymptotes?

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The function f(x) = sec((-7pi)/4-2x) has vertical asymptotes when the value inside the secant function, (-7pi)/4-2x, 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.

- How do you find the limit of #sin (x^2)/sin^2(2x)# as x approaches 0?
- How do you find the limit #lim_(x->-4)(x^2+5x+4)/(x^2+3x-4)# ?
- How do you find the limit of #(3x^2-x-10)/(x^2+5x-14)# as x approaches 2?
- How do you evaluate the limit #(x^2-25)/(x+5)# as x approaches #-5#?
- How do you find the limit of # (4t – 2t)/(t) # as t approaches 0?

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