Home
Class 12
MATHS
STATEMENT -1 : f(x)= (1 -cos(1-cosx))/x...

STATEMENT -1 : `f(x)= (1 -cos(1-cosx))/x^(4)` is continuous if f(0) , 1/8
and
STATEMENT -2 : ` lim_( x to 0^(+)) f(x) = lim_(x to 0^(+)) f(x) = 1/8`

A

Statement -1 is True, Statement -2 is True, Statement -2 is a correct explantion for Statement -1

B

Statement -1 is True, Statement -2 is True, Statement -2 is NOT a correct explanation for Statement -1

C

Statement -1 is True , Statement -2 is Flase

D

Statement -1 is Flase , Statement - 2 is True

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - F|3 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section -G|3 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - D|6 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos
  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

Calculate lim_(x to 0) f(x) , where f(x) = (1)/(x^(2)) for x gt 0

For the function f(x)={[x-1 ,x 0]},lim_(x rarr0^(+))f(x) and lim_(x rarr0^(-))f(x) are

Knowledge Check

  • If f(x) = x sin (1//x), x ne 0 , then lim_(x to 0) f(x) =

    A
    1
    B
    0
    C
    `-1`
    D
    not exist
  • If f(x) is continuous and f(9/2)=2/9 , then : lim_(x to 0) f((1-cos 3x)/(x^2)) =

    A
    `2/9`
    B
    `9/2`
    C
    18
    D
    81
  • Let f:R to ((-1)/2 , 1/2) be an odd function such that lim_( xto0) f(x) exists. Then, lim_( x to 0) 1/(2f(x)-1) equals

    A
    0
    B
    `1/2`
    C
    2
    D
    `-1`
  • Similar Questions

    Explore conceptually related problems

    For the function f(x)={[x-1 ,x 0]},lim_(x rarr0^(+))f(x) and lim_(x rarr0^(-))f(x) are

    f(x)=e^x then lim_(x rarr 0) f(f(x))^(1/{f(x)} is

    If f(x) is a continuous function satisfying f(x)f(1/x) =f(x)+f(1/x) and f(1) gt 0 then lim_(x to 1) f(x) is equal to

    If f(x) = 1/x for all x != 0 then : lim _(x rarr 0 ) f((1-cos 5x)/x)=

    Let f''(x) be continuous at x = 0 and f''(0)=4 , Then value of lim_(x to 0)(2f(x) -3f(2x) + f(4x))/x^(2) is: