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Which values of x will cause this series to converge

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Reference no: EM132076853

a) The function 1/1-x has Taylor Series (a=0) of

1+x +x^2 + x^3 + x^4 + ......

Which values of x will cause this series to converge?

b) Find a Taylor Series (a=0) for the derivative of .f(x)= 1/1-x

c) Evaluate the series:  

(3/4) + (3^2/4^2) +(3^3/4^3) + (3^4/4^4)

d) Evaluate the series: (Hint: part b)

Please show all your work

Reference no: EM132076853

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