Inequality no solve integral Show 0<(equal) integral(0 to 1) fn(x) < (equal)1/2n+1, n natural given fn(x)=x^(2n)/1+x?

Expert Answers info

sciencesolve eNotes educator | Certified Educator

calendarEducator since 2011

write5,349 answers

starTop subjects are Math, Science, and Business

You should notice that if `x in (0,1)`  the following inequality holds such that:

`0 < (x^(2n))/(1 + x) < (x^(2n))/1`

You need to integrate such that:

`int_0^1 0 dx < int_0^1 (x^(2n))/(1 + x) dx <...

(The entire section contains 103 words.)

Unlock This Answer Now


check Approved by eNotes Editorial