Use the power series 1/1+x = Σ∞ n= Σ∞ n=10 (-1)ⁿxⁿ , | x |

Question

Use the power series
1/1+x = Σ∞ n= Σ∞ n=10 (-1)ⁿxⁿ , | x | < 1
to find a power series for the function, centered at 0.
f(x) = In(x + 1) = ∫1/1+x dx
f(x) =  Σ∞ n=0
Determine the interval of convergence. (Enter your answer using interval notation.)

Kunduz · Accepted Answer

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Use the power series 1/1+x = Σ∞ n= Σ∞ n=10 (-1)ⁿxⁿ , | x | <