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Represent the function f(x)=x^(0.7) as a power series. Sigma n=0 to inf Cn(x-5)^n Find the following coefficients:
Represent the function f(x)=x^(0.7) as a power series.
Sigma n=0 to inf Cn(x-5)^n
Find the following coefficients:
c0= 5^(7/10)
c1= (7/50)*5^(7/10)
c2= -(21/5000)*5^(7/10)
c3= (91/250000)*5^(7/10)
Find the interval of convergence:
Note give answer in interval notation.