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...(adsbygoogle = window.adsbygoogle || []).push({});

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.

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# Infinite Limits

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