Home
Class 11
MATHS
Show that Lim(ntooo)prod(r=1)^(n)r/(r^(4...

Show that `Lim_(ntooo)prod_(r=1)^(n)r/(r^(4)+r^(2)+1)=1/2`

Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.1 (VERY SHORT ANSWER QUESTIONS)|20 Videos
  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-2.1 (SHORT ANSWER QUESTIONS)|17 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos
  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

Lt_(ntooo)sum_(r=0)^(n-1)(n)/(n^(2)+r^(2))=

Lt_(ntooo)sum_(r=1)^(n)(1)/(sqrt(4n^(2)-r^(2)))=

Lt_(ntooo)sum_(r=1)^(n-1)(1)/(sqrt(n^(2)-r^(2)))=

Lt_(ntooo)sum_(r=0)^(n-1)(1)/(n+r)=

Lt_(ntooo)(1)/(n)sum_(r=1)^(2n)(r)/(sqrt(n^(2)+r^(2)))=

Lt_(ntooo)sum_(r=1)^(n)(1)/(n)e^(r//pi) is

Show that sum_(r=0)^(n) (-1)^(r ). ""^(n)C_(r ) {(1)/(2^(r )) +(3^(r ))/(2^(2r)) +(7^(r ))/(2^(3r)) +…."upto m terms"}=(2^(mn)-1)/(2^(mn)(2^(n)-1))

Lt_(n rarr oo) sum_(r=1)^(n)[(1)/(sqrt(4n^(2) - r^(2)))]

Lt_(ntooo)sum_(r=1)^(n)(1)/(n)[sqrt ((n+r)/(n-r))]