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If f(x) =|x-2|+1, evaluat Lt(xto2+)(f(x)...

If f(x) =|x-2|+1, evaluat `Lt_(xto2+)(f(x)-f(2))/(x-2)` and `Lt_(xto2-)(f(x)-f(2))/(x-2)`. What can you say about the existence of f'(x) at x=2?

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If f(x)=|x-2|+1 , evaluate lim_(xto2+)(f(x)-f(2))/(x-2) and lim_(xto2-)(f(x)-f(2))/(x-2) . What can you say about the existence of f' (x) at x = 2 ?

If f(x)=|x+2|-1,"evalute "underset(x rarr-2+)(lim)(f(x)-f(-2))/(x+2)andunderset(xrarr-2-)(lim)(f(x)-f(-2))/(x+2) . What can you say about the existence of f'(x)" at"x=-2 ?

Knowledge Check

  • If f(x) =lx ^(2) +mx+n, then the value of (f(x+3) -f(x))/(f(x+2)-f(x+1)) is-

    A
    0
    B
    `(2lx+3 l +m)/(lx+2l +m)`
    C
    3
    D
    none of these

  • Let f(2) =4and f '(2) =4, then lim _(xto2)(x f(2) -2f(x))/(x-2) is equal to-

    A
    `-2`
    B
    2
    C
    3
    D
    `-4`

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