Find the slant asymptote of f(x)=x^3/(x+2)^2

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To find the slant asymptote of x^3 / (x + 2)^2 we have to divide x^3 by (x + 2)^2

(x^2 + 4x + 4) | x^3...........................................| x - 4

...........................x^3 + 4x^2 + 4x

----------------------------------------------------

.....................................- 4x^2 - 4x

..................................... - 4x^2 - 4x - 16

-----------------------------------------------------

...........................................................16

The required asymptote is obtained from the the quotient that is obtained from the division Here, using the same we get y = x - 4.

The required asymptote if y = x - 4

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