Question

Use the power series [ frac{1}{1+x}=sum_{n=0}^{infty}(-1)^{n} x^{n}, quad|x|<1 ] to find a power series for the function, centered at 0 . [ egin{array}{r} f(x)=ln (x+1)=int frac{1}{x+1} d x \ f(x)=sum_{n=0}^{infty}(square) end{array} ] Determine the interval of convergence. (Enter your answer using interval notation.) ( square )

          Use the power series
[
frac{1}{1+x}=sum_{n=0}^{infty}(-1)^{n} x^{n}, quad|x|<1
]
to find a power series for the function, centered at 0 .
[
egin{array}{r}
f(x)=ln (x+1)=int frac{1}{x+1} d x \
f(x)=sum_{n=0}^{infty}(square)
end{array}
]

Determine the interval of convergence. (Enter your answer using interval notation.)
( square )

$Use the power series [ frac11+x=sumn=0^infty(-1)^n x^n, quad|x|<1 ] to find a power series for the function, centered at 0 . [ eginarrayr f(x)=ln (x+1)=int frac1x+1 d x f(x)=sumn=0^infty(square) endarray ] Determine the interval of convergence. (Enter your answer using interval notation.) ( square )$

Added by Goat D.

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