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Discuss the differentiability of f(x)=[x...

Discuss the differentiability of `f(x)=[x]+setminus1-x|dotx in (-1,3),w h e r e[dot]` represents greatest integer function.

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Discuss the differentiability of f(x)=[x]+|1-x|,x in(-1,3), where [.] represents greatest integer function.

Knowledge Check

  • If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represent the greatest integer function)

    A
    `underset(xrarr0^(+))(lim)f(x)=-1`
    B
    `underset(xrarr0^(-))(lim)f(x)=0`
    C
    `underset(xrarr0)(lim)f(0)=-1`
    D
    `underset(xrarr0)(lim)f(x)=0`

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