Question

lim x→-2 x+2/√(x^2-4)

Answer 1

@Loser66 what's the l'hopital rule?

Answer 2

do i multiply both of them by √(x^2 +2)

Answer 3

@Loser66 i don't know what derivative means

Answer 4

oop, you study limit and not know about derivative? ok, I take it back and think other way, hihi, sorry for that

Answer 5

@Loser66 i don't pay attention in class

Answer 6

sorry friend, I really don't know how to solve without applying l'hopital rule. wait for other 's help,

Answer 7

\[\begin{align*}\lim_{x\to-2}\frac{x+2}{\sqrt{x^2-4}}&=\lim_{x\to-2}\frac{x+2}{\sqrt{(x+2)(x-2)}}\\
&=\lim_{x\to-2}\frac{x+2}{\sqrt{x+2}\sqrt{x-2}}\\
&=\lim_{x\to-2}\frac{\sqrt{x+2}}{\sqrt{x-2}}\\
\end{align*}\]

Answer 8

@SithsAndGiggles would i plug in the -2 for the x next

Answer 9

Yes.

Answer 10

@SithsAndGiggles thanks

Answer 11

You're welcome