Need help with this limit! :D

Question

anonymous · Answer

attachment

anonymous · Answer

$$\frac{ -(x+5) }{ \sqrt{x ^{2}+x+4} +\sqrt{x ^{2}+x+9} }$$

anonymous · Answer

^i'm stuck here

anonymous · Answer

^ * sqrt x^2 + 2x+9

jigglypuff314 · Answer

it is a conceptual problem, just plug in infinity... what was the original problem?

anonymous · Answer

@jigglypuff314  the original problem is in the attachment. yeah but i plugged in and i get (-infinity)/(infinity) right?

jigglypuff314 · Answer

yes, but when dividing infinities, which is the bigger infinity?

anonymous · Answer

what do u mean? is there any bigger than infinity? haha xD, i have no idea how to get -1/2. thats the answer

jigglypuff314 · Answer

on top is -(infinity + (number that can be ignored))
over       (√(infinity^2) + √(infinity^2)) = infinity + infinity
so -(infinity)/(2infinity) the infinities cancel out and you're left with -1/2

anonymous · Answer

ohh.. infinities can cancel out haha, i see, thanks! i always get this thinking that you cnnot do minus and divide on infinities..omgg thank you!! :D

jigglypuff314 · Answer

your welcome :)