Home
Class 12
MATHS
Write the definite integral which is equ...

Write the definite integral which is equal to `lim_(nrightarrowinfty)frac[1][n]sum_(r=1)^nfrac[r][sqrt(n^2+r^2)]`

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    SHARAM PUBLICATION|Exercise EXERCISE|49 Videos

  • QUESTION PAPER 2019

    SHARAM PUBLICATION|Exercise EXERCISE|44 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: lim_(ntoinfty)(1+2+3+...+n)/n^2

Integrate int(frac[x-1][2x+1])dx

Using the epsilon- delta definition prove that lim_(xto1)(2x-1) = 1

Evaluate the following: lim_(ntoinfty) ((6n^5+2n+1)/(n^5+n^4+3n^3+2n^2+n+1))

Evaluate the following: lim_(ntoinfty) ((n^2+n+1)/(5n^2+2n+1))

Differentiate the functions w.r.t x x^(xcosx)+frac[x^2+1][x^2-1]

Evaluate the following: lim_(ntoinfty)(1^2+2^2+3^2+...+n^2)/n^3

SHARAM PUBLICATION-QUESTION PAPER 2018-EXERCISE
  1. Write the interval in which the function f(x)=sin^(-1)(2-x) is differe...

    Text Solution

    |

  2. A balloon is pumped at the rate of 2 cm^3// minute. Write the rate of ...

    Text Solution

    |

  3. Write the definite integral which is equal to lim(nrightarrowinfty)fra...

    Text Solution

    |

  4. If p and q are respectively degree and order of the differential equat...

    Text Solution

    |

  5. If (vec a times vec b)^2 + (vec a cdot vec b)^2=144, write the value o...

    Text Solution

    |

  6. Write the equations of the line 2x+z-4=0=2y+z in the symmetrical form.

    Text Solution

    |

  7. Let ~ be defined by (m,n)~(p,q) if mq=np where m, n, p,qinZ-{0}. Show ...

    Text Solution

    |

  8. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

    Text Solution

    |

  9. Show that "sin"^(-1)(4)/(5) +2"tan"^(-1)(1)/(3) =(pi)/(2).

    Text Solution

    |

  10. Prove the "sin"^(-1) sqrt((x-q)/(p-q))="cos"^(-1)sqrt((p-x)/(p-q))="co...

    Text Solution

    |

  11. Sole the following LPP graphically Minimize Z=4x+3y subject to 2x+...

    Text Solution

    |

  12. If A,B,C are matrices of order 2xx2 each and 2A+B+C =[[1,2],[3,0]] A+B...

    Text Solution

    |

  13. Find the inverse of the following matrix [{:(1,1,2),(0,1,2),(1,2,1):}]...

    Text Solution

    |

  14. Prove that the following. [[a-b-c,2a,2a],[2b,b-c-a,2b],[2c,2c,c-a-b]]=...

    Text Solution

    |

  15. A bag A contains 2 white and 3 red balls and another bag B contains 4 ...

    Text Solution

    |

  16. If P(A) = 0.6, P(B/A) = 0.5, find P(A uu B) when A and B are independe...

    Text Solution

    |

  17. Differentiate tan^(-1) frac (sqrt(1+x^2) + sqrt(1-x^2))(sqrt(1+x^2) ...

    Text Solution

    |

  18. Differentiate y=(siny)^(sin2x)

    Text Solution

    |

  19. Test the differentiability and continuity of the following function at...

    Text Solution

    |

  20. Show that the sum of the intercepts on the coordinate axes of any tang...

    Text Solution

    |