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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.