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lim(x to 0)(x tan 2x-2 x tanx)/((1-cos2x...

`lim_(x to 0)(x tan 2x-2 x tanx)/((1-cos2x)^(2))=`

A

2

B

`-2`

C

`(1)/(2)`

D

`(-1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • lim_(xrarr 0 ) (x^(2) (tan2x - 2 tan x )^(2))/((1-cos 2 x )^(4)) =

    A
    4
    B
    2
    C
    `1/2`
    D
    `1/4`

  • Lim_(x to 0) ( tan x - sin x)/x^(2) is equal to

    A
    0
    B
    1
    C
    `1/2`
    D
    `(-1)/2`

  • If alpha = lim_(x to 0) (x*2^(x)-x)/(1 - cos x) and beta= lim_(x to 0) (x*2^(x)- x)/(sqrt(1 + x^(2))-sqrt(1-x^(2))) then

    A
    `alpha = 5 beta`
    B
    `alpha = 2beta`
    C
    `beta = 2alpha^(2)`
    D
    `beta = (1)/(6)alpha`

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