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Find the interval of convergence. ( Be sure to include a check for convergence at the endpoints of the interval. enter your answer using interval

Find the interval of convergence. (Be sure to include a check for convergence at the endpoints of the interval. enter your answer using interval notation. If the answer is a finite set of values, enter your answers using interval notation.)\sum _{n=1}^{\infty }\:\frac{\left(-1\right)^{n+1}\left(x-4\right)^n}{n4^n}
(a)
f(x)
(b)
f(x)
(c)
f(x)
(d)
f(x) dx

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