# For what values of x, if any, does #f(x) = 1/(x^2-4x+4) # have vertical asymptotes?

To find the vertical asymptotes we have to find for which values the denominator is equal to 0. Simply set the polynomial on the denominator to 0 then solve for

Thus there is one vertical asymptote at

Here is a graph of the function, the vertical asymptote is clearly indicated by a steep incline towards

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The function f(x) = 1/(x^2-4x+4) has vertical asymptotes at x = 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 find the limit of #xsin(pi/x)# as x approaches infinity?

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