Home
Class 12
MATHS
Let f (x) = lim (n to oo) n ^(2) tan (ln...

Let `f (x) = lim _(n to oo) n ^(2) tan (ln(sec""(x)/(n )))and g (x) = min (f(x), {x}}`
(where {.} denotes fractional part function)
Left derivative of `phi(x) =e ^(sqrt(2f (x)))at x =0` is:

A

0

B

1

C

`-1`

D

Does not exist

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|1 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|23 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|36 Videos

  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|31 Videos

  • DETERMINANTS

    VK JAISWAL|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|11 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=2x-{(pi)/(n)} and g(x)=cos x where {.} denotes fractional part function, then period of gof (x) is -

The domain of function f(x)=ln(ln((x)/({x}))) is (where { ) denotes the fractional part function)

Knowledge Check

  • Let f (x) = lim _(n to oo) n ^(2) tan (ln(sec""(x)/(n )))and g (x) = min (f(x), {x}} (where {.} denotes fractional part function) Number of points in x in [-1, 2] at which g (x) is discontinous :

    A
    2
    B
    1
    C
    0
    D
    3

  • If f(x) = e^(x) , then lim_(xto0) (f(x))^((1)/({f(x)})) (where { } denotes the fractional part of x) is equal to -

    A
    f (1)
    B
    f (0)
    C
    f (-`oo`)
    D
    Does not exist

    • Similar Questions

    Explore conceptually related problems

    The domain of function f(x)=ln(ln((x)/({x}))) is (where f ) denotes the fractional part function

    The domain of function f(x)=ln(ln((x)/({x}))) is (where f ) denotes the fractional part function

    The domain of the function f(x)=(1)/(sqrt({x}))-ln(x-2{x}) is (where {.} denotes the fractional part function)

    prove "lim"_(xvecoo)(ln x)/([x])="lim"_(xvecoo)([x])/(ln x) where [.] is G.I.F. & {.} denotes fractional part function

    Consider the function f(x)=(cos^(-1)(1-{x}))/(sqrt(2){x}); where {.} denotes the fractional part function,then

    let f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1)

    Home
    Profile