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let f(x)=ln(1+2x) a. find the taylor series expansion of f(x) with center at x=0 b. determine...

let f(x)=ln(1+2x)
a. find the taylor series expansion of f(x) with center at x=0
b. determine the radius of convergence of this power series
c. discuss if it is appropriate to use power series representation of f(x) to predict the valuesof f(x) at x= 0.1, 0.9, 1.5. justify your answe
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