Home
Class 12
MATHS
lim(n->oo)cos(pisqrt(n^2+n))=?(n in I) ...

`lim_(n->oo)cos(pisqrt(n^2+n))`=?`(n in I)` a. 1 b. -1 c. 0 d. Does not exist

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

lim_(n rarr oo0 .Does not exist )cos(pi sqrt(n^(2)+n))=?(n in I) a.1b*-1c

lim_(n rarr oo)(sqrt(n+1)-sqrt(n))=0

Lim_(n->oo)(sqrt(n^2+n+1)-[n^2+n+1])(n in I) where [ ] denote the greatest integer functionis is

Lim_(n to oo) (-1)^(n)sin(pisqrt(n^(2)+n)), n epsilon N is

lim_(n rarr oo)(2^(n)+3^(n))^(1/n)

lim_(n rarr0)((1+cos n)/(n^(2)))

The value of (lim)_(n rarr oo)((n+2)!+(n+1)!)/((n+2)!-(n+1)!) is a.1b*-1 c.0d .none of these

" (e) "lim_(n rarr oo)[(n!)/(n^(n))]^(1/n)

lim_(n rarr oo)((-1)^(n)n)/(n+1)

RESONANCE DPP-JEE MAINS-All Questions
  1. If two events Aa n dB are such that P(A^c)=0. 3 ,P(B)=0. 4 ,a n dP...

    Text Solution

    |

  2. Let f: RvecR be a one-one onto differentiable function, such that f(2)...

    Text Solution

    |

  3. lim(n->oo)cos(pisqrt(n^2+n))=?(n in I) a. 1 b. -1 c. 0 d. Does not...

    Text Solution

    |

  4. If matrix A is given by A=[6 11 2 4] , then the determinant of A^(2...

    Text Solution

    |

  5. If the line y=mx+c touches the parabola y^(2)=4a(x+a), then

    Text Solution

    |

  6. A relation on set ={1,2,3,4,5} is defined as R="{"a-b"|" is prime numb...

    Text Solution

    |

  7. Let U={xcN,xle10},A={x inN,1lex^(3)lt150}and B={x inN, x is prime numb...

    Text Solution

    |

  8. Sum of squares of deviation of 10 observations measured from 5 is 17 a...

    Text Solution

    |

  9. If alpha,beta in R and the quadratic equations x^2+2x+7=0a n d4x^2+al...

    Text Solution

    |

  10. Let A and B be two square matrices satisfying A+BA^(T)=I and B+AB^(T)=...

    Text Solution

    |

  11. The function f:(-oo, 1] rarr (0, e^(5)] defined as f(x)=e^(x^(3)+2) is

    Text Solution

    |

  12. If the point P(4, -2) is the one end of the focal chord PQ of the para...

    Text Solution

    |

  13. Let f(x)=(sin {pi[x-pi]})/(1-[x^(2)]), where [.] stands for the greate...

    Text Solution

    |

  14. if A[{:(5,-3),(111,336):}] and det(-3A^(2013)+A^(2014))=alpha^(alpha)+...

    Text Solution

    |

  15. If x^2+a x-3x-(a+2)=0 has real and distinct roots, then the minimum va...

    Text Solution

    |

  16. If a and b are the solutions of equation log5(log(64)(|x|)-1/2+25^x)=2...

    Text Solution

    |

  17. Tangents are drawn to the circle x^2+y^2=50 from a point "P lying on ...

    Text Solution

    |

  18. The value of int(-pi/2)^(pi/2)1/(e^(sin x)+1) dx equal to

    Text Solution

    |

  19. Show that the function f(x)=3x+ 2 is one-one and onto

    Text Solution

    |

  20. The total number of ordered pairs (x, y) satisfying |y|=cosx and y=si...

    Text Solution

    |