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Mathematics 14 Online
OpenStudy (anonymous):

who can help me in limit theorem of trigonometric functions?

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

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 \[\theta^3\]

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

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):

\[sin^3(\theta)\]?

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

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 \[\sin 3\theta \over 3\theta\]

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):

\[\lim_{\Phi \rightarrow 0}\sin \phi \div \phi = 1\]

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