Determine any oblique asymptote for the rational functions :

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Determine any oblique asymptote for the rational functions :
8x^2+8x-20
f（x）= ————————
4+2x
讲解每一步为什么是这样做.

设f(x)的渐近线方程为y=ax+b
a=lim[f(x)/x]=lim[(8x^2+8x-20)/(2x^2+4x)]=4
b=lim[f(x)-ax]=lim[( 8x^2+8x-20)/(2x+4)-4x]
=lim[(-8x-20)/(2x+4)]=-4
所以,y=4x-4是f(x)的渐近线
说明：极限符号这里很难输入,在这里的极限都是x趋向无穷大

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