Mathematics
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OpenStudy (anonymous):
who can help me in limit theorem of trigonometric functions?
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OpenStudy (anonymous):
do u have some examples ? then post them i'l see them and try work them out
OpenStudy (anonymous):
lim sin3(teta) over teta where teta approaches 0
OpenStudy (anonymous):
I don't think this is right. It is probably \[sin^3(\theta)\] not \[sin(3\theta)\]
OpenStudy (anonymous):
\[\lim{x\to0}\frac{sin^3(x)}{x}\]
OpenStudy (anonymous):
And you need to then apply l'hopitals rule
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OpenStudy (anonymous):
The limit is 0
OpenStudy (anonymous):
Yes but your answer is incorrect, sorry.
OpenStudy (anonymous):
The limit is 0
OpenStudy (anonymous):
One second
OpenStudy (anonymous):
Yes but you said it was \[\theta^3\]
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OpenStudy (anonymous):
The limit is 0 and you need to apply l'hopitals rule.
OpenStudy (anonymous):
wit 1 sec ei need to cinfirm
OpenStudy (anonymous):
oh yes, i'm sorry it would be zero.....
OpenStudy (anonymous):
for theta^3 but wt abt sin(Ntheta)
OpenStudy (anonymous):
it should be zero too
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OpenStudy (anonymous):
i did it all wrong .... lol
OpenStudy (anonymous):
thanks alchemista
OpenStudy (anonymous):
this is the equation:
Evaluate:
Lim sin3Θ over Θ
limΘ−>0
OpenStudy (anonymous):
sine cubed or sine 3*theta?
OpenStudy (anonymous):
\[sin^3(\theta)\]?
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OpenStudy (anonymous):
sine3theta
OpenStudy (anonymous):
\[\sin3\theta \over \theta\]
OpenStudy (anonymous):
ah ok
OpenStudy (anonymous):
how is it?
OpenStudy (anonymous):
Its similar to the limit of sin(x)/x as x approaches 0 but instead of 1 its 3
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OpenStudy (anonymous):
then its 3
OpenStudy (anonymous):
Yeah it turns out it wasnt \[sin^3\]
OpenStudy (anonymous):
:)
OpenStudy (anonymous):
while in my reference book 3 multiply in lim\[\lim_{\Theta \rightarrow 0}\]
OpenStudy (anonymous):
then \[\sin 3\theta \over 3\theta\]
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OpenStudy (anonymous):
so the answer will be 3..
OpenStudy (anonymous):
then its 1
OpenStudy (anonymous):
told u the concept bfore ...it works on that
OpenStudy (anonymous):
\[\lim_{\Phi \rightarrow 0}\sin \phi \div \phi = 1\]