Question

1. Use a power series to approximate the definite integral, I, to six decimal places. 0.4...

1. Use a power series to approximate the definite integral, I, to six decimal places. 0.4 to 0, (x5 / 1 + x6 ) dx

2. Find a power series representation for the function. (Give your power series representation centered at x = 0.)

f(x) = ln(9 − x). Determine the radius of convergence, R. I already found the first part to be x is 1/n(x/9)^n but can't find R

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