Question: f ( s , x ) = dfrac { 2 + 3 s sqrt [ 3 ] { x } } { (

f(s,x)=\dfrac{2+3s\sqrt[3]{x}}{(1+s\sqrt[3]{x})(1+x)}
Let s_0=0.01, s_k+1=\int_0^{s_k}f(s_k,x)dx. Show that \lim_{k\to\infty} s_k exists.

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