Question

Determine the infinite limit.

lim
x→-4( from the + side) ( x+3)/(x+4)

Answer 1

bottom stays positive as it goes to 0 and the top is negative... so what do you get?

Answer 2

I don't understand how to solve the problem.

Answer 3

Wait, so if they are going in different directions, that means the limit does not exist!

Answer 4

the limit goes to negative infinity. some teachers want you to say the limit doesn't exist, some want you to say it goes to negative infinity.
technically, it doesn't exist nut negative infinity gives a little more direction on what's happening.

Answer 5

How do you know what's negative and what's positive?

Answer 6

like, how did you know that (x+3) is negative and (x+4) is positive

Answer 7

do you see the drawing? the top sign represents (x+3) in that interval (from -4 to -3). the bottom sign represents (x+4) in that same interval. +/- => - and since the bottom goes to zero and the top goes to -1 => the whole thing goes to negative infinity.

Answer 8

OOOh ok! I think I get it. thanks.

Answer 9

good! you're welcome!

Answer 10

wait, is there a way to do algebraically?
It was clear once i saw the graph.

Answer 11

yes... substitute in and you'll get -1/0 => -infinity

Answer 12

Ok.Now i get it. Thanks again!