Question

Compute

lim √(3-s)-√(3+s))/s
s→0⁡

Answer 1

Use L'Hopital's rule.

Take the ratio of the derivatives of numerator and denominator at s = 0

[-(1/2)/�ã(3-s) -�ã(1/2)/�ã(3+s)]/1 @s=0 =
= -1/�ã(3