Use the power series 1/1+x = Σ∞ n=0 (-1)ⁿ xⁿ | x |

Question

Use the power series
1/1+x = Σ∞ n=0 (-1)ⁿ xⁿ  | x | < 1
to find a power series for the function, centered at 0.
h(x) = x/x² - 1 = 1/1 + x + 1/1-x
h(x) = Σ∞ n=0
no
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=0 (-1)ⁿ xⁿ | x | < 1 to