Asked by Alice
Use the series for f(x)=1/(1-x) to write the series for g(x)=Ln|1-x|
a) C+ Ln|1+ x + x^2 + x^3+......|
b) C+ 2+ 2x+ 3x^2
c) C+ x+ x^2/2 +x^3/3
d) None of these
a) C+ Ln|1+ x + x^2 + x^3+......|
b) C+ 2+ 2x+ 3x^2
c) C+ x+ x^2/2 +x^3/3
d) None of these
Answers
Answered by
oobleck
since ln(1-x) = ∫ dx/(1-x)
Just integrate the Taylor Series for 1/(1-x)
Just integrate the Taylor Series for 1/(1-x)
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