Question

Lim (3x / √9+x - √9-x)
x-0

a.3
b.6
c.9
d.12
e.15

Answer 1

Lim x→0 || (3x/{(√9+x)-(√9-x)}) =
lim x→0 || (3x * {(√9+x)+(√9-x)} / [{(√9+x)-(√9-x)}{(√9+x)+(√9-x)}]) =
lim x→0 || (3x * {(√9+x)+(√9-x)} / (9-x²)) =
(0 * (3+3))/9 = 0/9 = 0