Question 5: Use the power series 1+x1=n=0∑∞(−1)nxn,∣x∣<1 to find a power series for the following functions, centered
Posted: Thu Jul 14, 2022 4:43 pm
Question 5: Use the power series 1+x1=n=0∑∞(−1)nxn,∣x∣<1 to find a power series for the following functions, centered at 0 . Hint: See Textbook, Section 9.9 Exercises. a) f(x)=ln(1−x2) Determine the interval of convergence. b) f(x)=(x+1)32 Determine the interval of convergence.