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Answer to Question #2887 in Differential Equations for jenny

Question #2887
Is x = 3 an asymptote of the function f(x)= (x2 -5x+6)/(x-3)? Why?
Expert's answer
f(x) = (x2 - 5x + 6)/(x-3)
Let's factorize the numerator:
x2 - 5x + 6 = (x-3)(x-2)
Thus f(x) = (x-3)(x-2)/(x-3) = x-2.
Therefore x=3 is not the asymptote.

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