Home
Class 12
MATHS
lim x→π/4 (4sqrt(2)-(cosx+sinx)^5)/(1−...

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

A

`sqrt(2)`

B

`3sqrt(5)`

C

`5sqrt(2)`

D

`-5sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMITS

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

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|13 Videos
  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|5 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

lim_(x->pi/4)(2sqrt(2)-(cosx+sinx)^3)/(1-sin2x)=

int(sinx-cosx)/(sqrt(1-sin2x))e^(sinx)cosx dx is equal to

The value of int(sinx-cosx)/(sqrt(sin2x)dx is equal to

If f(x)=(2-3cosx)/(sinx) , then f'((pi)/(4)) is equal to

lim _(xto0) (""^(3)sqrt(1+sin ^(2)x )- ""^(4) sqrt(1-2 tan x))/(sin x+ tan ^(2) x) is equal to:

lim_(xtooo) (2+2x+sin2x)/((2x+sin2x)e^(sinx)) is equal to

Evaluate: int(cosx-sinx)/(1+sin2x)\ dx

lim_{x\rightarrow 0}(cosx-cos3x)/(x(sin 3x-sinx)) is equal to

The solution set of sin(x+π/4)=sin2x equals to

int (sinx+cosx)/sqrt(1+sin2x)dx .

ARIHANT MATHS ENGLISH-LIMITS-Exercise (Single Option Correct Type Questions)
  1. Let f:(1,2)vecR satisfies the inequality (cos(2x-4)-33)/2ltf(x)lt(x^2|...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If underset(ntooo)lim(n.3^(n))/(n(x-2)^(n)+n.3^(n+1)-3^(n))=1/3, then ...

    Text Solution

    |

  5. Let f(x)=underset(ntooo)lim(1)/(((3)/(pi)tan^(-1)2x)^(2n)+5). Then the...

    Text Solution

    |

  6. Find the integral value of n for which ("lim")(xvec0)(cos^2x-cosx-e^x...

    Text Solution

    |

  7. Find dy/dx if x^7-e^x=siny

    Text Solution

    |

  8. underset(xto(pi)/(2))(lim)([(x)/(2)])/(log(e)(sinx))([.] denotes great...

    Text Solution

    |

  9. Let a1=1, an=n(a(n-1)+1) for n=2,3,... where Pn=(1+1/a1)(1+1/a2)(1+1/a...

    Text Solution

    |

  10. If f(x+ y) = f(x) + f(y) for x, y in R and f(1) = 1, then find the val...

    Text Solution

    |

  11. Evaluate underset(ntooo)limn^(-n^(2))[(n+2^(0))(n+2^(-1))(n+2^(-2))......

    Text Solution

    |

  12. If f(x)={("sin"[x])/([x]),for[x]!=0, 0,for[x]=0,w h e r e[x] denotes ...

    Text Solution

    |

  13. Evaluate: (lim)(x->2)(x^3-6x^2+11 x-6)/(x^2-6x+8)

    Text Solution

    |

  14. Let r^(th) term t (r) of a series if given by t (c ) = (r )/(1+r^(2) +...

    Text Solution

    |

  15. The value of lim(ntooo)sum(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2) is

    Text Solution

    |

  16. Let xtan alpha + ysin alpha= alpha and xalpha cosec alpha + ycosalpha...

    Text Solution

    |

  17. The polynomial of least degree such that lim(xto0)(1+(x^(2)+f(x))/(x^(...

    Text Solution

    |

  18. If n is a non zero integer and [*] denotes the greatest integer functi...

    Text Solution

    |

  19. The value of lim(xtoa)[sqrt(2-x)+sqrt(1+x)], where a in[0,1/2] and [.]...

    Text Solution

    |

  20. The value of lim(xto0^(+))(-1+sqrt((tanx-sinx)+sqrt((tanx-sinx)+sqrt...

    Text Solution

    |