Asked by Kat
Compute
lim √(3-s)-√(3+s))/s
s→0
lim √(3-s)-√(3+s))/s
s→0
Answers
Answered by
drwls
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
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
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