Asked by Linda
Represent f(x)= (e^x -1)/x as a power series.
Answers
Answered by
MathMate
Start with:
e<sup>x</sup>
=1+x+x²/2!+x³/3!+x<sup>4</sup>/4!+...
So (e-1)/x
=1+x/2!+x²/3!+x³/4!+...+x<sup>i</sup>/(i+1)! +...
e<sup>x</sup>
=1+x+x²/2!+x³/3!+x<sup>4</sup>/4!+...
So (e-1)/x
=1+x/2!+x²/3!+x³/4!+...+x<sup>i</sup>/(i+1)! +...
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