Find a formula for the power series of f(x) = 6 ln (1 + x), 1...

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Find a formula for the power series of f(x) = 6 ln (1 + x), −1 < x < 1 in the form Σ 6 n=1 an. Hint: First, find the power series for g(x) = Then integrate. 1 + x (Express numbers in exact form. Use symbolic notation and fractions where needed.) an = 4x Find a power series for f(x): " 2 (x² +1) ∞ |x| < 1 in the form Σan. -1 n=1 Hint: First, find the power series for g(x) = (1 + x²) ¯ and then differentiate. (Express numbers in exact form. Use symbolic notation and fractions where needed.) an = Find a formula for the power series of f(x) = 6 ln (1 + x), −1 < x < 1 in the form Σ 6 n=1 an. Hint: First, find the power series for g(x) = Then integrate. 1 + x (Express numbers in exact form. Use symbolic notation and fractions where needed.) an = 4x Find a power series for f(x): " 2 (x² +1) ∞ |x| < 1 in the form Σan. -1 n=1 Hint: First, find the power series for g(x) = (1 + x²) ¯ and then differentiate. (Express numbers in exact form. Use symbolic notation and fractions where needed.) an =

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To find the power series of fx 6ln1 x we first need to find the power series for g... View the full answer