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If f(x)=sin^(-1)x and lim(xto1//2+)f(3x-...

If `f(x)=sin^(-1)x and lim_(xto1//2+)f(3x-4x^3)=a-3lim_(xto1//2+)f(x)`, then [a] is equal to {where [] denotes G.I.F}

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Knowledge Check

  • lim_(xto1) (1-x^(2))/(sin2pix) is equal to

    A
    0
    B
    `oo`
    C
    -2
    D
    2

  • lim_(xto1)(1/(1-x)-3/(1-x^3)) is equal

    A
    1
    B
    `-1`
    C
    2
    D
    `-1/2`

  • f (x) = lim _(x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +1),n in N and g (x) =tan ((1)/(2)sin ^(-1)((2f (x))/(1+f ^(2) (x)))), then lim _(x to 0^(-)){(f (x))/(tna ^(2)x)} +|lim _(x to 2 ^(-))f (x)|+ lim _(x to 2 ^(+)) (5 f (x)) is equal to (where {.} denotes fraction part function)

    A
    7
    B
    8
    C
    12
    D
    Non-existent

    • Similar Questions

    Explore conceptually related problems

    f (x) = lim _(x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +1),n in N and g (x) =tan ((1)/(2)sin ^(-1)((2f (x))/(1+f ^(2) (x)))), then lim _(x to 0^(-)){(f (x))/(tna ^(2)x)} +|lim _(x to 2 ^(-))f (x)|+ lim _(x to 2 ^(+)) (5 f (x)) is equal to (where {.} denotes fraction part function)

    If f(x)=(sin(e^(x-2)-1))/(In(x-1)) then lim_(xto2)(x) is equal to ?

    If f(x)=(1)/(1-|1-x|) then what is lim_(xto1)f(x) equal to ?

    If the function f(x) satisfies lim_(x to 1) (f(x)-2)/(x^(2)-1)=pi , then lim_(x to 1)f(x) is equal to

    Given g(x)=(1/x), h(x)=x^(2)+2x+(lamda+1) and u(x)=1/x+cos(1/(x^(2))) Let f(x)=lim_(ntooo)(x^(2n+1)g(x)+h(x))/(x^(2n)+3x.u(x)) If lim+(xto2)f(x)=I , then [I] (where [.] denotes the greatest integer function), is equal to :

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