. 6. Consider the power series Io(x) = 1 In(x) = fa In-1(t) dt. 0 t...

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. 6. Consider the power series Io(x) = 1 In(x) = fa In-1(t) dt. 0 t Define I = Io (t) dt, and in general t (a) Write the power series for I(x) and I2(x). 8 n 11(x) = x-1 xn and 12(x) = 12. n=1 . 6. Consider the power series Io(x) = 1 In(x) = fa In-1(t) dt. 0 t Define I = Io (t) dt, and in general t (a) Write the power series for I(x) and I2(x). 8 n 11(x) = x-1 xn and 12(x) = 12. n=1