Question

Please help using L'hopital's Rule:

Limit as x approaches 0+ x^(-1/2) sin(x)

Answer 1

\[ \lim_{x \rightarrow 0+} x^{-1/2} \sin x \]

Answer 2

by direct substitution I got 0/0

Answer 3

then I tried getting the derivatative using the quotient rule, but Im confused by the algebra.,

Answer 4

http://mathworld.wolfram.com/LHospitalsRule.html
will this help because apparantly the rule doesnt always work....-_______-

Answer 5

im getting = 0 from wolfram but i need to understand how it got there using L'hopitals :S

Answer 6

just take the derivative of this given equation and get the answer

Answer 7

okay so when I substituted the 0 back into the derivative I should have put the denominator upstairs

Answer 8

top get = 0
instead of 1/0