Home
Class 11
MATHS
Show that lim(xtooo)(1+2+3+...+n)/(3n^...

Show that
`lim_(xtooo)(1+2+3+...+n)/(3n^(2)+7n+2)=1/6`

Text Solution

Verified by Experts

The correct Answer is:
`1/6`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 9.4|28 Videos
  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 9.5|34 Videos
  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 9.2|15 Videos
  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|73 Videos
  • EXAMINATION QUESTION PAPER MARCH 2019

    PREMIERS PUBLISHERS|Exercise PART -IV|4 Videos

Similar Questions

Explore conceptually related problems

lim_(xtooo)(1/x+2)

Show that lim_(n to infty)(1+2+3+...+n)/(3n^2+7n+2)=1/6

Show that lim_(xtooo)(1^(2)+2^(2)+...+(3n)^(2))/((1+2+...+5n)(2n+3))=9/25

Show that lim_(xtooo)1/1.2+1/2.3+1/3.4+...+1/(n(n+1))=1

Evaluate lim_(ntooo) [(1+2+3+...+n)/(4n^2-3n+2)]

The value of lim_(ntooo) [(1+2+3+...+n)/n^2] is

lim_(xtooo)(1+3/x)^(x+2)

Show tha , lim_(ntooo) ((1)/( n +1)+(1)/( n +2)+ . . . +(1)/( 6 n))= log 6 .