Q 1104523458.     By the definition of the definite integral, the value of `lim_(n->oo)(1^4/(1^5+n^5)+2^4/(2^5+n^5)+3^4/(3^5+n^5)+......+n^4/(n^5+n^5))` is

EAMCET 2014
A

`log2`

B

`1/5log2`

C

`1/4log2`

D

`1/3log2`

HINT

Use `sum_(r=0)^(r=n)r^4/(r^5+n^5)=int_0^1x^4/(1+x^5)dx`

Find instant solution to any question from our database of 1.5 Lakh + Questions

 

Access free resources including

Engineering

Medical

Banking

DEFENCE

SSC

RRB

CBSE-NCERT

OLYMPIAD

Today's Score

0
Success Rate: NAN %

Practice & Test

Sr. No.SubjectTagCorrectRecorded Answer