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Math Help - Help with Math Problem that was on a test...

  1. #1
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    Help with Math Problem that was on a test...

    I need help on solving this problem:

    The question was Find the following limit Algebracially (Hint use
    sin(theta)/theta = 1)

    lim x -> 0 ( sin(1-cosx) ) / (x)

    this was an extra credit question on my previous test and i have been trying to figure out and have come up with nothing except making
    cosx into 1 / sinx after that im stuck...
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  2. #2
    MHF Contributor Calculus26's Avatar
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    See attachment
    Attached Thumbnails Attached Thumbnails Help with Math Problem that was on a test...-limit.jpg  
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  3. #3
    Master Of Puppets
    pickslides's Avatar
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    Consider

     <br />
\frac{\sin(x) (1-\cos(x))}{x} = \frac{\sin(x) -\sin(x)\cos(x)}{x} = \frac{\sin(x) }{x}-\frac{\sin(x)\cos(x)}{x}<br />

    or

     <br />
\frac{\sin(x) (1-\cos(x))}{x} = \frac{\sin(x) }{x}(1-\cos(x))<br />
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  4. #4
    MHF Contributor Calculus26's Avatar
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    I believe the question was sin(1-cos(x))/x not [sin(x)(1-cos(x))]/x
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  5. #5
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    0.o thanks dude now i know why this was extra credit again thanks for the help..
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