Home
Class 12
MATHS
The graph of the function f(x) = underse...

The graph of the function `f(x) = underset( t rarr 0 ) ("Lim") ((2x)/(pi ) cot^(-1) ""(x) /(t^(2)))`, is

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    MOTION|Exercise EXERCISE -2( LEVEL-I)|16 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-2(LEVEL-2)|5 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

Similar Questions

Explore conceptually related problems

Find underset( x rarr 0 ) ( "Lim") ( e^(sinx) -sin x -1)/( x^(2))

Find underset( x rarr 0 ) ( "Lim") ( e^(sin x) -sin x -1)/( x^(2))

Plot the graph of the function f(x)=lim_(t rarr0)((2x)/(pi)(tan^(-1)x)/(t^(2)))

underset( x rarr 0 ) ( "lim")( x tan 2x - 2x ta n x )/(( 1- cos 2x)^(2)) is

underset( x rarr0 ) ( "lim" )( cot ((pi)/( 4) + x ))^("cosecx")=

Evaluate underset( x rarr0 ) ( "Lim")( e^(x) - e^(-x)-2x)/( x - sin x )

f(x) is the function such that underset( x rarr 0 ) ("Lim") (f(x))/( x ) = 1 . If underset( x rarr 0 ) ( "Lim") ( x ( 1+ a cos x )-b sinx ) /( (f(x))^(3))= 1 , then find the value of a and b.

If f(x)=lim_(t to 0)[(2x)/(pi).tan^(-1)(x/(t^(2)))] ,then f(1) is …….

If l = underset( x rarr 0) ("Lim")( x ( 1+ a cos x ) - bsin x ) /( x^(3))= underset( x rarr 0 ) ("Lim") ( 1+a cos x ) /( x^(2))- underset( x rarr 0 ) ("lim")( b sin x )/( x^(3)) , where l in R , then

MOTION-LIMIT-EXERCISE -1
  1. lim(xto oo) (logx^n-[x])/([x]) where n in N and [.] denotes the greate...

    Text Solution

    |

  2. Limit(n->oo) {(1+x) (1+x^2)(1+x^4).......(1+x^(2^n))}= if |x|<1 has th...

    Text Solution

    |

  3. The graph of the function f(x) = underset( t rarr 0 ) ("Lim") ((2x)/(p...

    Text Solution

    |

  4. Let f(x)=(loge(x^2+e^x))/(loge(x^4+e^2x)). If lim(xto oo) f(x)=l and l...

    Text Solution

    |

  5. If [x] denotes the greatest integer le x , then underset( n rarr oo ) ...

    Text Solution

    |

  6. lim(n->oo) 1/sqrt(n^2)+1/sqrt(n^2+1)+1/sqrt(n^2+2)+.....1/sqrt(n^2+2n)...

    Text Solution

    |

  7. The limit underset( theta rarr0 ) ("lim") ([ (nsin theta)/( theta) ]+ ...

    Text Solution

    |

  8. lim(x->-oo) {x^2*sin(1/x)}/sqrt(9x^2+x+1) is equal to

    Text Solution

    |

  9. lim(x->oo)(x^2sin(1/x)+x+1)/(x^2+x+1) is equal to

    Text Solution

    |

  10. Evaluate: ("lim")(nvecoo)ncos(pi/(4n))sin(pi/(4n)) where (x , y)vec(0...

    Text Solution

    |

  11. lim(x->pi/2) ((1-tan(x/2))(1-sinx))/((1+tan(x/2))((pi-2x)^3))

    Text Solution

    |

  12. The limit underset( x rarr0 ) ( "lim") ( 1- cos x sqrt( cos 2x))/( x^(...

    Text Solution

    |

  13. lim(x->0^+)cos^(- 1)(1-x)/(sqrt(x))

    Text Solution

    |

  14. underset( x rarr 0 ) ("lim") [ ( 1-e^(x)) ( sin x )/( |x|)] is equal ...

    Text Solution

    |

  15. Evaluate: underset(hrarr0)("lim")(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(...

    Text Solution

    |

  16. lim(x->0) sin(6x^2)/(lncos(2x^2-x)

    Text Solution

    |

  17. The value of underset( x rarr 0 ) ( "Lim") ( sin ( ln ( 1+ x)))/( ln (...

    Text Solution

    |

  18. underset( x rarr pi //2) ("Lim") ( 2 ^(cos x) - 1)/( x ( x-pi //2))= ...

    Text Solution

    |

  19. lim(x->0)((4^x-1)^3)/(sin(x/p)ln(1+(x^2)/3) is equal to

    Text Solution

    |

  20. The limit underset( x rarr a ) ("Lim") (2 -( a)/(x))^(tan ((pix)/( 2a)...

    Text Solution

    |