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Math Help - inequalities

  1. #1
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    inequalities

    Use the inequality absolute value[sin(a)-sin(b)] << absolute value[a-b], which is valid for all real numbers a and b, to prove that sin x is continuous on R.
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  2. #2
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    Krizalid's Avatar
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    just apply the mean value theorem for the function f(t)=\sin t on the interval [a,b].
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  3. #3
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    Is the mean value theorem the same thing as the intermediate value theorem?

    IVT
    f(x) is defined on [a,b]
    f(x) assumes all values of (a,b)
    then f(c) where c is a point in (a,b) intersects f(x)
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  4. #4
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    no, the assumptions are different, google it and see.
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