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Math Help - find limits approaching zero

  1. #1
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    find limits approaching zero

    Let f(x)={0 if x cannot equal 0 ; pi if x=0

    I got this wrong I think.

    1) lim x->0 f(x)=0

    2)lim x->0 f(f(x))=1

    3)lim x->0 cos(f(x))=pi

    4) lim x->0 f(sin(x))=0
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  2. #2
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    Re: find limits approaching zero

    Quote Originally Posted by LAPOSH42 View Post
    Let f(x)={0 if x cannot equal 0 ; pi if x=0

    I got this wrong I think.

    1) lim x->0 f(x)=0 correct

    2)lim x->0 f(f(x))=1correct

    3)lim x->0 cos(f(x))=pi incorrect

    4) lim x->0 f(sin(x))=0 correct
    .
    Last edited by Plato; September 24th 2011 at 01:34 PM.
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  3. #3
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    Re: find limits approaching zero

    for #2 is this right lim x->0 cos(0)=1
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  4. #4
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    Re: find limits approaching zero

    Quote Originally Posted by LAPOSH42 View Post
    for #2 is this right lim x->0 cos(0)=1 correct
    .
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  5. #5
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    Re: find limits approaching zero

    and lim x->0 f(f(x))=pi?

    do i have to write it in a format or do I just put equal pi
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