Home
Class 12
MATHS
The value of lim(xto (pi)/2) sqrt((tanx-...

The value of `lim_(xto (pi)/2) sqrt((tanx-sin{tan^(-1)(tanx)})/(tanx+cos^(2)(tanx)))` is ………..

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|3 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

tan^(-1)(secx+tanx)

(1-tanx)/(1+tanx)

(tanx)/(1+tanx)

int sin^(-1)((2tanx )/(1+tan^(2)x))dx = ?

Evaluate lim_(xto 0^(+))(sinx)^(tanx)

What is the value of lim_(x to 0)x/(tanx) ?

The value lim_(xrarr pi//2)(sinx)^(tanx) , is

The value of lim_(xto 0)(e-(1+x)^(1//x))/(tanx) is

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

Evaluate lim_(xto pi//4) (2-tanx)^(1//1n(tanx))

ARIHANT MATHS-LIMITS-Exercise (Single Integer Answer Type Questions)
  1. If the arithmetic mean of the product of all pairs of positive intege...

    Text Solution

    |

  2. The value of lim(n->oo)sum(k=1)^n(6^k)/((3^k-2^k)(3^(k+1)-2^(k+1)) is ...

    Text Solution

    |

  3. The value of lim(xto (pi)/2) sqrt((tanx-sin{tan^(-1)(tanx)})/(tanx+cos...

    Text Solution

    |

  4. The figure shows two regions in the first quadrant. P(t, sin t^2) the ...

    Text Solution

    |

  5. If the two AB:(int(0)^(2t)((sinx)/x+1)dx)x+y=3t and AC:2tx+y=0 interse...

    Text Solution

    |

  6. Consider a parabola y=(x^(2))/4 and the point F(0,1). Let A(1)(x(1),y...

    Text Solution

    |

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

    Text Solution

    |

  8. Number of solutions of the equation cosectheta=k in [0,pi] where k=lim...

    Text Solution

    |

  9. If C satisfies the equation lim(xto oo)((x+c)/(x-c))^(x)=4 then |(e^(c...

    Text Solution

    |

  10. If lim(xto-oo)((3x^(4)+2x^(2)).sin(1/x)+|x|^(3)+5)/(|x|^(3)+|x^(2)|+|x...

    Text Solution

    |

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

    Text Solution

    |

  12. The value of lim(nto oo)(1/(sqrt(n^(2)))+1/(sqrt(n^(2)+1))+…..+1/(sqrt...

    Text Solution

    |

  13. If l=lim(xto1^(+))2^(-2^(1/(1-x))) and m=lim(xto1^(+))(x sin (x-[x]))/...

    Text Solution

    |

  14. The value of lim(xto 0)[(sinx.tanx)/(x^(2))] is …….. (where [.] deno...

    Text Solution

    |

  15. If lim+(n to oo)sum(r=1)^(n)(kr)/(1xx3xx5xx….xx(2r-1)xx(2r+1))=1 then ...

    Text Solution

    |

  16. If f(x)=lim(n to oo)sin^(4)x+1/4sin^(4)2x+..=1/(4^(n)).sin^(4)(2^(n)x)...

    Text Solution

    |

  17. If f(x+y+z)=f(x)+f(y)+f(z) with f(1)=1 and f(2)=2 and x,y, z epsilonR ...

    Text Solution

    |

  18. If lim(xto oo)(n.3^(n))/(n.(x-1)^(n)+n.3^(n+1)-3^(n))=1/3, the number ...

    Text Solution

    |

  19. The value of lim(x->oo)(((x-1)(x-2)(x+3)(x+10)(x+15))^(1/5)-x) is .....

    Text Solution

    |

  20. If lim(xto oo)([f(x)]+x^(2)){f(x)}=k, where f(x)=(tanx)/x and [.],{.} ...

    Text Solution

    |