How to find the asymptotes of f(x) = (x+3)(x-2)^3 f(x)=(x+3)(x−2)3 ?

1 Answer
David Britz
Jul 18, 2018

There are no asymptotes for this one.

Explanation:

Vertical asymptotes occur mainly where a variable is undefined at a particular value. Since the domain is (-oo,oo)(−∞,∞), that won't be the case. Horizontal asymptotes occur when the value of the function approaches a fixed number as x approaches oo∞ and -oo−∞. At huge positive values of x, f(x) will approach oo∞. The same at large negative values of x. Since the conditions for neither vertical nor horizontal asymptotes are met, there are no asymptotes here.

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