Undergraduate

Use the binomial series to expand the function as a power series. 5 1 x ( 1 ) n + 1 ( 5 n 6

Use the binomial series to expand the function as a power series.
51 x
(1)n+1(5n 6)n5n
xnn =0
1
15
x
49(5n 6)n!
xnn =2
1+
15
x +
49(5n 6)n!
xnn =2
1+
(1)n+1
49(5n 6)5n n!
xnn =1
1
15
x
49(5n 6)5n n!
xnn =2
State the radius of convergence, R.
R =

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