 #1
greg_rack
Gold Member
 295
 68
 Homework Statement:

Consider ##f(x)=\frac{(a2)x^3+x^2}{ax^2+6x+1}##:
for which values of ##a## has it an horizontal asymptote?
 Relevant Equations:
 none
I'll write my procedure:
$$\lim_{x\to\infty}[\frac{(a2)x^3+x^2}{ax^2+6x+1}]\rightarrow\frac{x(a2)}{a}\in \mathbb{R}$$
And now, assumed that everything's correct, how do I assign ##a## a value for having that limit finite and ##\in \mathbb{R}##, and so an horizontal asymptote?
$$\lim_{x\to\infty}[\frac{(a2)x^3+x^2}{ax^2+6x+1}]\rightarrow\frac{x(a2)}{a}\in \mathbb{R}$$
And now, assumed that everything's correct, how do I assign ##a## a value for having that limit finite and ##\in \mathbb{R}##, and so an horizontal asymptote?