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Let p=lim(x->0^+)(1+tan^2 sqrt(x))^(1/(2...

Let `p=lim_(x->0^+)(1+tan^2 sqrt(x))^(1/(2x))` then log p is equal to`

A

2

B

1

C

`1/2`

D

`1/4`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Let f(x)= sqrt(1+x^(2)) then,

    A
    `f(xy)= f(x). F(y)`
    B
    `f(xy) ge f(x).f (y)`
    C
    `f(xy) le f(x).f(y)`
    D
    None of these

  • lim_(xto1)((sqrt(x)-1)(2x-3))/(2x^(2)+x-3) =……

    A
    1
    B
    `(1)/(10)`
    C
    `-(1)/(10)`
    D
    Does not exists

  • lim_(xto1)(1-x)tan (xpi/(2)) =………

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

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