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Show that f ,given by f(x)=(x-|x|)/(x)(x...

Show that f ,given by `f(x)=(x-|x|)/(x)(xne0)` is continuous on R - {0}

Answer

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Show that the functon given by f(x)=(x-|x|)/(x)(x ne0) is continuous on R-{0}

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Knowledge Check

  • The function f: R//{0} to R" given by "f(x)=1/x-(2)/(e^(2x)-1) can be continuous at x=0 by defining f(0) as

    A
    2
    B
    `-1`
    C
    0
    D
    1
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