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Evaluate the right hand limit and left h...

Evaluate the right hand limit and left hand limit of the function
`f(x)={(|x-4|/(x-4), x ne 4),(0, x=4):}`

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(x-1)/(x-4)gt0(x ne 4),x in R

Knowledge Check

  • The period of the function f(x)= tan 4x is-

    A
    `pi`
    B
    `2pi`
    C
    `pi/2`
    D
    `pi/4`

  • The left hand derivative of the function y = f(x) at x = a is Lf' (a) =

    A
    `underset(h to 0+)lim (f(a+h)-f(a))/(h)`
    B
    `underset(h to 0-)lim (f(a+h)-f(a))/(h)`
    C
    `underset(h to 0)lim (f(a+h)-f(a))/(h)`
    D
    none of these

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    Evaluate the left-and right-hand limits of the function defined by f(x)={(1+x^2, 0lex<1), (2-x ,x gt1):} at x=1 Also, show that lim_(xrarr1)f(x) does not exist

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