Home
Class 12
MATHS
If f(n)= 1/n {(n+1)(n+2)....2n}^(1//n) t...

If `f(n)= 1/n {(n+1)(n+2)....2n}^(1//n)` then `{:(" "Lt),(n rarr oo):} f(n)=`

A

2e

B

`2//e`

C

`4//e`

D

4e

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|151 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Examples|8 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - I|67 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

If S_(n)={(1)/(1+sqrt(n))+(1)/(2+sqrt(2n))+(1)/(3+sqrt(3n))+....+(1)/(n+sqrt(n^(2)))} then {:(" "Lt),(n rarr oo):} S_(n)=

If I_(n)=int_(0)^(pi//4) tan^(n) x dx then {:(" " Lt),(n rarr oo):}n(I_(n)+I_(n+2))=

{:(" "Lt),(n rarr oo):} ((n!)/(n^(n)))^(1/n)=

{:(" "Lt),(n rarr oo):} ((1+2^(4)+3^(4)+......+n^(4))/(n^(5)))-{:(" "Lt),(n rarr oo):} ((1+2^(3)+3^(3)+....+n^(3))/(n^(5)))=

{:(" "Lt),(n rarr oo):}1/n { f(1/n)+f(2/n)+...+f(2)}=

{:(" "Lt),(n rarr oo):}(((2n)!)/(n!n^(n)))^(1/n)=

{:(" "Lt),(n rarr oo):} {sum_(r=1)^(n)1/n e^(r//n)}=

If f(1)=1, f(n+1)=2f(n)+1, n ge1 , then f(n) is

Lt_(n to oo)(6^(n)+5^(n))^(1//n)=