Home
Class 12
MATHS
Lim(n to oo) (-1)^(n)sin(pisqrt(n^(2)+n)...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The value of lim_( n to oo) (1)/(n) ( sin (pi/ n) + sin (2pi/n) + …+ sin (n pi/ n) ) is

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

lim_(n to oo) (n^(p) sin^(2)(n!))/(n +1) , 0 lt p lt 1 , is equal to-

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

lim_(n rarr oo)2^(n)sin(a)/(2^(n))

lim_(n rarr oo)(e^(2n)(n!)^(2))/(2n^(2n+1))

lim_(n to oo) (3^(n)+4^(n))^(1//n) is equal to

lim_(n rarr oo)(1-(2)/(n))^(n)

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

lim_ (n rarr oo) (n) / ((n!) ^ ((1) / (n)))

ALLEN-TEST PAPERS-MATHEMATICS
  1. Let there are two functions defined of f(x)="min"{|x|,|x-1|,|x+1+] ...

    Text Solution

    |

  2. Let f(x)=(x(1-x))^(2), the sum of f(1/2019)-f(2/2019)+f(3/2019)-f(4/20...

    Text Solution

    |

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

    Text Solution

    |

  4. If f(x)=int(sinx)/(cos^(2)x)(1-3sin^(3)x)dx, then value of (f(0)-f(pi)...

    Text Solution

    |

  5. If Lim(x to 0)(ae^(x)-bln(1+x)+ce^(-x))/(x sin x)=2 then value of a+b+...

    Text Solution

    |

  6. "If "f(x)=(x-1)^(4)(x-2)^(3)(x-3)^(2)(x-4), then the value of f'''(1)+...

    Text Solution

    |

  7. If y=f((2x-1)/(x^(2)+1)) and f^'(x)=sinx^(2), then (dy)/(dx) is equal ...

    Text Solution

    |

  8. f:RtoR such that f(2)=5 and f'(2)=10 thenlim(xto0) ((f(2+x))/(f(2)))^(...

    Text Solution

    |

  9. The value of lim(xto0^(+))(x^(x)+(tanx)^(cosecx)+(cosecx)^(tanx)) is...

    Text Solution

    |

  10. f:RtoR is defined as f(x)=x^(3)+2x^(2)+7x+cos(pix) and g be the invers...

    Text Solution

    |

  11. Let f(x) be a cubic polynomical such that f'(x)=0 at x=1 and x=3, f(1)...

    Text Solution

    |

  12. lim(xto oo)(ln(x^(2)+5x)-2ln(cx+1)=-2 then

    Text Solution

    |

  13. The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2+cot^2x)...

    Text Solution

    |

  14. If quadratic equation (1+m)x^(2)-2(1+3m)x-2(1+m)=0 has one root greate...

    Text Solution

    |

  15. The quadratic polynomial p(x) has the following properties:p(x)geq0 fo...

    Text Solution

    |

  16. Domain off(x)=log(x^2+5x+6)/([x]-1)where [.] denotes greatest integer ...

    Text Solution

    |

  17. Let f:RtoR f(x)=x+3x^(3)+5x^(5)+………..+1001x^(1001) then which of fol...

    Text Solution

    |

  18. The vaue of x satisfying sin^(-1)(x)+sin^(-1)(sqrt(15)x)=(pi)/2 is

    Text Solution

    |

  19. The sum sum(n=1)^oo tan^(-1)(3/(n^2+n-1)) is equal to

    Text Solution

    |

  20. Range of f(x)=sin^(-1)x+tan^(-1)x+sqrt(x+1) is [a,b] then b+a is equal...

    Text Solution

    |