Question

limit
lim x+2 dived square root x^2+5-(3)
->-2

Answer 1

pls confirm, limit of (x+2)/sqrt(x^2+5 - 3)?

Answer 2

lim
x->-2

Answer 3

but 3 is not under sgrt its out side

Answer 4

is 3 included in the denominator?

Answer 5

yes

Answer 6

\[= \lim_{x \rightarrow 2} \frac{x+2}{\sqrt{x^2+5} -3}\]

Answer 7

apply L'Hospital's rule

Answer 8

differentiate top and bottom as it gives 0/0 when you substitutue.

Answer 9

yes

Answer 10

\[= \lim_{x \rightarrow 2} \frac{1}{ \frac{x}{\sqrt{x^2+5}}}\]

Answer 11

ok

Answer 12

\[= \frac{1}{ \frac{2}{3}} = \frac{3}{2}\]

Answer 13

yes but negavit 3/2

Answer 14

why

Answer 15

because its x-> -2

Answer 16

ohh yeh..

Answer 17

thanks anyway

Answer 18

bye