Home
Class 12
MATHS
If I(1)=lim(xto 0)(tan^(-1)pi x- tan^(-1...

If `I_(1)=lim_(xto 0)(tan^(-1)pi x- tan^(-1)x)cosx `and `I_(2)=lim_(xto0)(tan^(-1)pi x-tan^(-1)x)sinx` then `(I_(1),I_(2))` is

A

`(0,0)`

B

`(0,1)`

C

`(1,0)`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|10 Videos

  • LIMITS

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

lim_(xto0)(e^(3x)-1)/(x) is :

Find lim_(xto0+)(cot^(-1)(1/x))/x

The value of lim_(xto oo)(x+2)tan^(-1)(x+2)-(xtan^(-1)x) is

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

lim_(xto0) (xtan2x -2x tan x)/((1-cos 2x)^2) , is

Slove lim_(xto0)((1+x)^(1//x)-e)/x

Evaluate lim_(xto0){tan((pi)/4+x)}^(1/x)

Find lim_(xto0)(tan2x-sin2x)/(x^(3)) .

If L=lim_(xto(pi^(+))/2)(costan^(-1)(tanx))/(x-pi//2) then cos(2piL) is

Evaluate lim_(xto0)(1+tan^(2)sqrt(x))^(1/(2x))

ARIHANT MATHS-LIMITS-Exercise (Single Option Correct Type Questions)
  1. lim(xto0)(sin(picos^(2)(tan(sinx))))/(x^(2)) is equal to

    Text Solution

    |

  2. lim(t to0)(1-(1+t)^(t))/(In (1+t)-t) is equal to

    Text Solution

    |

  3. If I(1)=lim(xto 0)(tan^(-1)pi x- tan^(-1)x)cosx and I(2)=lim(xto0)(tan...

    Text Solution

    |

  4. If f(x)=0 is a quadratic equation such that f(-pi)=f(pi)=0 and f(pi/2)...

    Text Solution

    |

  5. lim (xto0) (""^(3)sqrt(1+sin ^(2)x )- ""^(4) sqrt(1-2 tan x))/(sin x+ ...

    Text Solution

    |

  6. For n in N, let f(n) (x) = tan ""(x)/(2) (1+ sec x ) (1+ sec 2x) (1+ s...

    Text Solution

    |

  7. Let f(x) be a real valued function defined for all xge1, satistying f(...

    Text Solution

    |

  8. The quadratic equation whose roots are the minimum value of sin^(2)the...

    Text Solution

    |

  9. If x1=sqrt(3) and x(n+1)=(xn)/(1+sqrt(1+x n^2)),AA n in N then lim(n...

    Text Solution

    |

  10. lim(xtoa^(-))(sqrt(x-b)-sqrt(a-b))/((x^(2)-a^(2))),(agtb) is

    Text Solution

    |

  11. lim(ntooo)(sin^(n)1+cos^(n)1)^(n) is equal to

    Text Solution

    |

  12. The value of lim(xto0)2/(x^(3))(sin^(-1)x-tan^(-1)x)^(2//x^(3)) equals

    Text Solution

    |

  13. lim(nto oo)sum(r=1)^(n)r/(n^(2)+n+4) equals a. 0 b. 1/3 c. 1/2 d.1

    Text Solution

    |

  14. Let U = {x : x ∈ N, x ≤ 9}; A = {x : x is an even number, 0 < x < 10};...

    Text Solution

    |

  15. int(-1)^(2)[([x])/(1+x^(2))]dx, where [.] denotes the greatest integer...

    Text Solution

    |

  16. If alpha and beta are roots of x^(2)-(sqrt(1-cos 2 theta))x+theta=0, w...

    Text Solution

    |

  17. If f(x)=1/3(f(x+1)+5/(f(x+2))) and f(x)gt0,AA x epsilonR, then lim(xto...

    Text Solution

    |

  18. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2ltf(x)lt(x^2|...

    Text Solution

    |

  19. Let f(x) be polynomial of degree 4 with roots 1,2,3,4 and leading coef...

    Text Solution

    |

  20. lim x→π/4 (4sqrt(2)-(cosx+sinx)^5)/(1−sin2x) is equal to

    Text Solution

    |