Arcsine(x) is differential on (-1,1) with the difference quotient (arcsine)'(x) = 1x21. Calculate the Taylor seriesT3f of 3 order at a= 0 for arcsine(x).

Calculate b =T3f(21) at x =21 explain with starting point in equationsin(6) =21 why is the number 6b an approximation of . How much does 6b deviate from = 3.14. I am not allowed to use calculator for any of this. For the rest i am allowed to use calculator.

All the derivatives of arcsine(x) are increasing on 0;21. Which maximum deviation doesRnf(x))(n+1)!Mx1n+1 guarantee. Where fn+1(t))M. for 6b =6T3f(21) as a approximation of