Asked by Brian
Evaluate as limit approaches 0. (Without using l'hopital's rule.
( Sqrt(4+sin(x))-2 ) / (3x)
( Sqrt(4+sin(x))-2 ) / (3x)
Answers
Answered by
Steve
lim(√(4+sinx)-2)/(3x)
= lim (cosx/(2√(4+sinx)))/3
-> (1/(2√4))/3 = 1/12
= lim (cosx/(2√(4+sinx)))/3
-> (1/(2√4))/3 = 1/12
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