Question

Twelfth Grade Calculus Questions:

Answer 1

\[I(n)=\int\limits_{0}^{1}\frac{ x^n }{ 4+x^2 }(dx) |AND| J(n)=\int\limits_{0}^{1}\frac{ x^n }{ 9-x^2 }(dx)\]
Demonstrate that
a).I(n)>=J(n),n is natural;
b).0<=I(n)<=1/(n+1);
c).lim as n->∞ J(n)=0;