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## Homework Statement

To find the oblique asymptotes of a rational function

(i) [itex]f(x)=\frac{P(x)}{Q(x)}=\frac{a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{0}x^{0}}{b_{m}x^{m}+b_{m-1}x^{m-1}+...+b_{0}x^{0}}[/itex]

where [itex]n=m+1[/itex]

we exprese it in a form

(ii) [itex]f(x)=ax+b+\frac{R(x)}{Q(x)}[/itex] using long division (my book says). The degree of R is less than the degree of Q.

Q.: How? Does one have to divide (i) and then add? How is the [itex]f(x)=ax+b+\frac{R(x)}{Q(x)}[/itex] obtained?