Question

f(x)=(2x-5)(2x+4)(2x+6)/(x+6)
find the Asymptotes

Answer 1

\[\LARGE y=\lim_{x\to \infty}\frac{(2x-5)(2x+4)(2x+6)}{(x+6)}=\]
\[\LARGE \lim_{x\to \infty}\frac{(2x-5)(2x+4)(2x+6)}{(x+6)}=\]
this is for Vertical asymptote... do you think you can do it? :)

Answer 2

im scratching my head a bit but uh yes i think i CAN...

Answer 3

sorry it's not vertical it's horizontal LOL :(

Answer 4

lol oh ok

Answer 5

I'll give you another hint..
\[\LARGE \lim_{x\to \infty}\frac{(\frac {2x}{x}-\frac 5x )(\frac{2x}{x}+\frac 4x )(\frac{2x}{x}+\frac 6x )}{\frac xx+\frac 6x }\]
... go on... :)

Answer 6

then tell me what you get ...

Answer 7

\[\ \LARGE \lim_{x\to \infty}\frac{(\frac {2x}{x}-\frac 5x )(\frac{2x}{x}+\frac 4x )(\frac{2x}{x}+\frac 6x )}{\frac xx+\frac 6x }=\]
\[\LARGE \lim_{x\to \infty}\frac{(2-\frac 5x )(2+\frac 4x )(2+\frac 6x )}{1+\frac 6x }\]
\[\LARGE =\frac{(2-0 )(2+0 )(2+0 )}{1+0}=?\]