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If lim(x to 0) (x^(3))/(sqrt(a + x) (bx...

If `lim_(x to 0) (x^(3))/(sqrt(a + x) (bx - "sin"x)) = 1, a in R^(+)`, then the value of a + b + 1975 is …..

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Knowledge Check

  • If lim_(xrarr0)(x^3)/(sqrt(a+x)(bx-sinx))=1,agt0 , then a+b is equal to

    A
    36
    B
    37
    C
    38
    D
    40

  • If lim_(x to 0)(x(1+ a cos x)- b sin x)/x^(3)=1 , then a,b are

    A
    `1/2, -3/2`
    B
    `5/2, 3/2`
    C
    `-5/2, -3/2`
    D
    none

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    Given that lim_(x to oo)(int_(0)^(x)(t^(2))/(sqrt(a+t))dt)/(bx-sinx) = 1 , then find the values of a and b.

    lim_(x rarr0)(sin x)/(sqrt(x))=

    lim_(x rarr0)(sin x)/(sqrt(x^(2)))=

    lim_(x rarr0)(sin x)/(sqrt(x^(2)))=

    lim_(x rarr0)(sin x)/(sqrt(x^(2)))=

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