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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

lim_(n->oo) nsin(1/n)

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

lim_(n->oo) ((sqrt(n^2+n)-1)/n)^(2sqrt(n^2+n)-1)

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

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

Evaluate lim_(ntooo) cos(pisqrt(n^(2)+n)) when n is an integer.

If f(x) = (x^n-a^n)/(x-a) , then f'(a) is a. 1 b. 1/2 c. 0 d. does not exist

lim_(n rarr oo)n[sqrt(n+1)-sqrt(n))]

lim_(n->oo)((n^2-n+1)/(n^2-n-1))^(n(n-1)) is

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Letf: R rarr R be a one-one onto differentiable function, such that f(...

    Text Solution

    |

  2. The direction cosines of a line passing through the points P(-2,4,-5...

    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 x gt 0, (x^(n))/(1+x+x^(2)+...+x^(2n)) is

    Text Solution

    |

  5. If matrix A is given by A=|[6, 11], [2, 4]| , then the determinant o...

    Text Solution

    |

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

    Text Solution

    |

  7. (p^^~q) is logically equal to 1. p -> q 2. ~ p->q 3. p -> ~ q 4....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If the point P(4,-2) is one ends of the focal PQ of y^(2)=x, then the ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If x(1) and x(2) are solution of the equation log(5)(log(64)|x|+(25)^(...

    Text Solution

    |

  19. Tangents are drawn to the circles x^(2)+y^(2)=50 from a point 'P' lyin...

    Text Solution

    |

  20. Evaluate: int(-pi//2)^(pi//2)1/(1+e^(sin x))dx

    Text Solution

    |