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If Lim(x rarr 0) (1-cosx)/(e^(ax)-bx-1) ...

If `Lim_(x rarr 0) (1-cosx)/(e^(ax)-bx-1)` exist and is equal to 1, then `(a^(2) + b^(2))` equals

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Knowledge Check

  • lim_(x rarr 0) (sqrt(1 -cos 2x))/(x)

    A
    0
    B
    1
    C
    `sqrt(2)`
    D
    does not exist

  • lim_(x rarr 0)(e^(sin x)-1)/(x) =

    A
    1
    B
    e
    C
    `(1)/(e)`
    D
    0

  • ' lim_ (x to 0) (a^(x)-b^(x))/(e^(x)-1) is equal to

    A
    `"log"(a)/(b)`
    B
    `"log"(b)/(a)`
    C
    log ab
    D
    loga+b

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