Home
Class 11
MATHS
Evaluate: (lim(n->oo)ncos(pi/(4n))sin(p...

Evaluate: `(lim_(n->oo)ncos(pi/(4n))sin(pi/(4n))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Evaluate lim_(ntooo)ncos((pi)/(4n))sin((pi)/(4n)).

evaluate lim_(n->oo)((e^n)/pi)^(1/ n)

evaluate lim_(n->oo)((e^n)/pi)^(1/ n)

Evaluate: ("lim")_(n->oo)(4^n+5^n)^(1/n)

lim_(n->oo)2^(n-1)sin(a/2^n)

The value of lim_(n->oo) [tan(pi/(2n)) tan((2pi)/(2n))........tan((npi)/(2n))]^(1/n) is

Evaluate: lim_(n->oo)sin^n((2pin)/(3n+1)),n in Ndot

Evaluate lim_(nrarroo)(2)/(n)(sin.(pi)/(2n)+sin.(2pi)/(2n)+sin.(3pi)/(2n)+....+sin.(npi)/(2n))

Evaluate: ("lim")_(n→oo)(n^p sin^2(n !))/(n+1)

Evaluate: lim_(n->oo)(((n+1)(n+2)...(n+n))^(1/n))/n

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Evaluate: ("lim")(xvec0)(cot2x-cos e c2x)/x

    Text Solution

    |

  2. lim(x->0)(log(1+x+x^2)+"log"(1-x+x^2))/(secx-cosx)= (a)-1 (b) ...

    Text Solution

    |

  3. Evaluate: (lim(n->oo)ncos(pi/(4n))sin(pi/(4n))

    Text Solution

    |

  4. The value of lim(n->oo)[(2n)/(2n^2-1)cos(n+1)/(2n-1)-n/(1-2n)dot(n(-1)...

    Text Solution

    |

  5. Evaluate: ("lim")(hvec0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(...

    Text Solution

    |

  6. Evaluate: ("lim")(xrarr0)8/(x^8){1-cos((x^2)/2)-cos((x^2)/4)+cos((x^2...

    Text Solution

    |

  7. Evaluate: ("lim")(xvec0)(cos^(-1)((1-x^2)/(1+x^2)))/(sin^(-1)x)

    Text Solution

    |

  8. Evaluate:lim(n->oo)n{sqrt((1-cos(1/n))sqrt((1-cos(1/n))sqrt((1-cos(1/n...

    Text Solution

    |

  9. Evaluate: ("lim")(x→0,y→0)(y^2+sinx)/(x^2+siny^2) where (x , y)→(0,0)...

    Text Solution

    |

  10. Evaluate ("lim")(n→oo){cos(x/2)cos(x/4)cos(x/8)... cos(x/(2^n))}

    Text Solution

    |

  11. Find the value of alpha so that lim(x->0)1/(x^2)(e^(alphax)-e^x-x)=3/...

    Text Solution

    |

  12. If x1 and x2 are the real and distinct roots of a x^2+b x+c=0, then ...

    Text Solution

    |

  13. If lim(x->0)(1+a x+b x^2)^(2/x)=e^3, then find the value of a and b.

    Text Solution

    |

  14. Evaluate: ("lim")(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

    Text Solution

    |

  15. If ("lim")(xvecoo){(x^2+1)/(x+1)-(a x+b)}=0, then find the value of aa...

    Text Solution

    |

  16. Evaluate: ("lim")(xto0)(e^x-1-x)/(x^2), without using LHospitals rule...

    Text Solution

    |

  17. If ("lim")(x to0)(a e^x-b)/x = 2 , then find the value of a a n d bdot

    Text Solution

    |

  18. Evaluate: ("lim")(xvec1)("sin"{x})/({x}) if exists, where {x} is the f...

    Text Solution

    |

  19. Evaluate: ("lim")(xvec-2^+) (x^2-1)/(2x+4)

    Text Solution

    |

  20. Evaluate: ("lim")(nvec0)(1^(1//sin^2x)+2^(1//(sin^2x))++n^(1//sin^2x))...

    Text Solution

    |