Question

Compute $\lim_{x \to \infty} \frac{12x + 144}{x^2 - 70}$ Select the correct choice below and fill in any answer boxes in your choice. A. $\lim_{x \to \infty} \frac{12x + 144}{x^2 - 70} = $ (Simplify your answer.) B. The limit does not exist.

          Compute $\lim_{x \to \infty} \frac{12x + 144}{x^2 - 70}$
Select the correct choice below and fill in any answer boxes in your choice.
A. $\lim_{x \to \infty} \frac{12x + 144}{x^2 - 70} = $ (Simplify your answer.)
B. The limit does not exist.
        
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Compute limx →∞(12x + 144)/(x^2 - 70)
Select the correct choice below and fill in any answer boxes in your choice.
A. limx →∞(12x + 144)/(x^2 - 70) = (Simplify your answer.)
B. The limit does not exist.

Added by Devin G.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Compute lim_(x->infty )(12x+144)/(x^(2)-70) Select the correct choice below and fill in any answer boxes in your choice. A. lim_(x->infty )(12x+144)/(x^(2)-70)=, (Simplify your answer.) B. The limit does not exist. 12x+144 Compute lim Select the correct choice below and fill in any answer boxes in your choice 12+144 OA.lim (Simplify your answer.) 2-70 OB.The limit does not exist
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Transcript

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00:01 The proper algebra on this is that the limit as x approaches 15 of this rational function x squared plus 3x.
00:15 And i'm not going to go through all of the direct substitution.
00:20 But if you were to plug in 15 in for all these xes, what you would end up with is zero on top and a zero on bottom.
00:31 And when you have a situation of zero over zero, i like to write out it's a potential hole.
00:39 Just i don't want to commit to saying it's always a hole in the graph.
00:42 And so the limit will probably exist.
00:44 I think that's letter a...
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