Finding limits and horizontal asymptotes of (2x + 5) / |3x - 4|

[Jacobpm64]

For f(x) = (2x + 5) / |3x - 4|, use graphs and tables to find the limit as x approaches infinity of f(x) and the limit as x approaches negative infinity of f(x)... Also identify any horizontal asymptotes...

When i graph the function in my graphing calculator, it looks like y will never reach a specific value as x approaches pos or neg infinity.. i went to table and checked at x value or 20000000 and -200000000 and i get 2/3 and -2/3 respectively

is this correct?
limit as x approaches pos inf = 2/3
limit as x approaches neg inf = -2/3

I'm not sure about the horizontal asymptotes?
would they be y = 2/3 and y = -2/3? I think? or is it something in between that?

Thanks for the input.

 

[Mindscrape]

Yes, are you supposed to find the answer with a graphing calculator or L'Hoptial's rule? Did you have to find the vertical asymptote?

 

[Jacobpm64]

i'm guessing a graphing calculator.. because it says graphs and tables.. we've never done L'Hopital's rule

 

[Mindscrape]

Okay, then looks like you are golden.