Question

I need help on a limit problem
limit as x approaches -2
(x-2)/(x^2+4x+4)

Answer 1

If you plug it in directly what do you get?

Answer 2

-4/0 DNE correct

Answer 3

That is what I get on first inspection. Have you learned L'Hospital's Rule?

Answer 4

Yeah, you may want to look that rule up. I could tell what it approaching right now, but Its simple if you use the rule.

Answer 5

http://tutorial.math.lamar.edu/Classes/CalcI/LHospitalsRule.aspx

Answer 6

yes

Answer 7

ok so it is -1/4

Answer 8

I am getting \(-\infty\)

Answer 9

no it still produces 1/0 DNE

Answer 10

I got the same as austin

Answer 11

how?

Answer 12

It not where it lies on -2, but what direction it was heading.

Answer 13

If you plug in other numbers near it, it keeps heading to infinity.

Answer 14

*negative infinity

Answer 15

(x-2)/(x^2+4x+4)
using L'hopitals rule
f'(x)/g'(x)
1/2x+4
1/2(-2) + 4
1/0
i got the same as precal o.o

Answer 16

oh, that makes sense.

Answer 17

x @ -2 is a zero

Answer 18

*Hole, excuse me

Answer 19

Yes, I should have looked at the graph...... Thanks

Answer 20

No problem. Props to Austin as well.