# For what values of x, if any, does #f(x) = 1/((x-2)(x+6)) # have vertical asymptotes?

The values of

graph{1/((x-2)(x+6)) [-8.89, 8.89, -4.444, 4.445]}

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The function f(x) = 1/((x-2)(x+6)) has vertical asymptotes at x = 2 and x = -6.

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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 evaluate the limit #(2t^2+3t-5)/(1-t)# as t approaches #1#?
- How do you find #lim (5y^3+3y^2+2)/(3y^3-6y+1)# as #y->-oo#?

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