Home
Class 12
MATHS
("lim")(n ->oo)[sum(r=1)^n1/(2^r)],"wher...

`("lim")_(n ->oo)[sum_(r=1)^n1/(2^r)],"where "[dot]" denotes G I F is equal to"` (a) 1 (b) 0 (c) non existent (d) 2

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")_(x->1)[cos e c(pix)/2]^(1/((1-x))) (w h e r e [dot] represents the GIF ) is equal to (a) 0 (b) 1 (c) oo (d) does not exist

lim_(n to oo) sum_(r=1)^(n) (1)/(n)e^(r//n) is

lim_(nto oo)sum_(r=1)^(n)r/(n^(2)+n+4) equals

("lim")_(xvec1)(xsin(x-[x]))/(x-1),w h e r e[dot] denotes the greatest integer function is equal to 0 (b) -1 (c) non-existent (d) none of these

Evaluate lim_(n->oo) [sum_(r=1)^n1/2^r] , where [.] denotes the greatest integer function.

lim_(n->oo)1/nsum_(r=1)^(2n)r/(sqrt(n^2+r^2)) equals

lim_(n->oo) sum_(r=1)^ntan^(- 1)((2r+1)/(r^4+2r^3+r^2+1)) is equal to

The value of the lim_(n->oo)tan{sum_(r=1)^ntan^(- 1)(1/(2r^2))} is equal to

("lim")_(xvecoo)1/(1+nsin^2n x) i s equal to (a) -1 (b) 0 (c) 1 (d) oo

("lim")_(x->oo)sum_(x=1)^(20)cos^(2n)(x-10) is equal to (a) 0 (b) 1 (c) 19 (d) 20

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthet...

    Text Solution

    |

  2. Let f: RvecR be a continuous function and f(x)=f(2x) is true AAx in R...

    Text Solution

    |

  3. ("lim")(n ->oo)[sum(r=1)^n1/(2^r)],"where "[dot]" denotes G I F is equ...

    Text Solution

    |

  4. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

    Text Solution

    |

  5. (lim)(kvec0)(I n(I n(1+k^4)))/(I n(I n(1+k^2)))=lambda,t h e nlambdai ...

    Text Solution

    |

  6. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are a) con...

    Text Solution

    |

  7. If equation f(x)=x^4-a x^3+b x^2-c x+420 have all roots integer and gr...

    Text Solution

    |

  8. If m1 and m2 are the roots of the equation x^2-a x-a-1=0 , then the ar...

    Text Solution

    |

  9. The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0....

    Text Solution

    |

  10. about to only mathematics

    Text Solution

    |

  11. Let C be a circle with two diameters intersecting at an angle of 30^0d...

    Text Solution

    |

  12. The roots of the equation x ^(5) - 40 x ^(4) + ax ^(3) + bx ^(2) + cx ...

    Text Solution

    |

  13. The equation of a circle touching the coordinate axes and the line 3x ...

    Text Solution

    |

  14. Let f(x)=x^(3)+ax^(2)+bx+c be the given cubic polynomial and f(x)=0 be...

    Text Solution

    |

  15. The range of values of lambda,(lambda>0) such that the angle theta bet...

    Text Solution

    |

  16. Solve each of the following system of equation in R :|(2x-1)/(x-1)|>2

    Text Solution

    |

  17. Two circle of radii R and r ,R > r touch each other externally then th...

    Text Solution

    |

  18. If f(x)a n dg(x) are continuous functions in [a , b] and are different...

    Text Solution

    |

  19. Solve each of the following system of equations in Rdot |x-1|+|x-2...

    Text Solution

    |

  20. If sum(r=1)^n r(r+1)(2r+3)=a n^4+b n^3+c n^2+d n+e , then (a) a-b=d-c ...

    Text Solution

    |