Home
Class 12
MATHS
lim(xrarr(pi)/2)(1-sinxsin3xsin5x.sin7x)...

`lim_(xrarr(pi)/2)(1-sinxsin3xsin5x.sin7x)/(((pi)/2-x)^(2))` is `k` then `k/6` equal to

Text Solution

Verified by Experts

The correct Answer is:
7

`x-(pi)/2=y`
`lim_(yrarr0) (1-cosycose3ycos5ycos7y)/(y^(2))`
`lim_(yrarro) ((sinycos3ycos5ycos7y+3cosysin3ycos5ycos7y),(+5cosycos3ysin5ycos7y+7cosycos3ycos5ysin7y))/(2y)`
`1/2+9/2+25/2+49/2=42`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise MATHEMATICS|259 Videos

Similar Questions

Explore conceptually related problems

The value of lim_(xrarr(pi)/(3))(2-sqrt3sinx-cosx)/((3x-pi)^(2)) is equal to the reciprocal of the number

lim_(xrarr2)(x^3-8)/(sin(x-2))

If L=lim_(xrarr(pi)/(4))((1-tanx)(1-sin2x))/((1+tanx)(pi-4x)^(3)) , then the value of 4 L is equal to

lim_(xrarr0) x^2sin.(pi)/(x) , is

lim_(xrarr(pi)/(2)) (cos^(2)x)/(1-sin^(3)x)=?

Evaluate: lim_(xrarr(pi)/(4)) (sin x -cos x)/(x-(pi)/(4))

Evaluate lim_(xto pi/2)(1-"sin"x)^2/((pi/2-x)^(2))

lim_(xrarr(pi))(sinx)/(x-pi) is equal to

Solve: 4sinxsin2xsin4x=sin3x

lim_(xrarrpi//2)(cos((pi)/(2)sin^(2)x))/(cot((pi)/(2)sin^(2)x)) equals

RESONANCE ENGLISH-TEST SERIES-MATHEMATICS
  1. Let f(x) be real valued continuous function on R defined as f(x)=x^(2)...

    Text Solution

    |

  2. Let all chords of parabola y^(2)=x+1 which subtends right angle at (1,...

    Text Solution

    |

  3. lim(xrarr(pi)/2)(1-sinxsin3xsin5x.sin7x)/(((pi)/2-x)^(2)) is k then k/...

    Text Solution

    |

  4. If derivative of y=|x-1|^(sinx) at x=-(pi)/2 is (1+api)^(b) then value...

    Text Solution

    |

  5. The value of Sin^-1(sin10) is

    Text Solution

    |

  6. f:[0,2pi]rarr[-1,1] and g:[0,2pi]rarr[-1,1] be respectively given by f...

    Text Solution

    |

  7. If solution of cot(sin^(-1)sqrt(1-x^(2)))=sin(tan^(-1)(xsqrt(6))),x!=0...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. Value of limit lim(xrarr0^(+))x^(x^(x)).ln(x) is

    Text Solution

    |

  11. Let A,B and C be square matrices of order 3xx3 with real elements. If ...

    Text Solution

    |

  12. If (a,b) and (c,d) are two points on the whose equation is y=mx+k, the...

    Text Solution

    |

  13. Solve the equation (x)^(2)=[x]^(2)+2x where [x] and (x) are intege...

    Text Solution

    |

  14. Let x^2+y^2+x y+1geqa(x+y)AAx ,y in R , then the number of possible i...

    Text Solution

    |

  15. Let P,Q,R and S be the feet of the perpendiculars drawn from point (1,...

    Text Solution

    |

  16. Let [.] denote G.I.F. and tge0 and S={(x,y):(x-T)^(2)+y^(2)leT^(2) whe...

    Text Solution

    |

  17. A function is definded as f(x) = lim( n to oo) {{:(cos^(2n)x, if ...

    Text Solution

    |

  18. If [.] denotes the greatest integer function and x,yepsilonRr,"n" epsi...

    Text Solution

    |

  19. The number of solutions to |e^(|x|)-3|=K is

    Text Solution

    |

  20. Let f(x)={(x+1, -1lexle0),(-x,0ltxle1):} then

    Text Solution

    |