Question: Let an(;c) = (11 +1)% Leta (x) (n + 1)4cn, and define f() a) Evaluate the following quantities: an+l@) The radius of convergence for f,

Let an(;c) = (11 +1)%\

Leta (x) (n + 1)4cn, and define f() a) Evaluate the following quantities: an+l@) The radius of convergence for f, R = b) At the points a: the series defining f@) . v by the c) Now suppose h@) f@4) 3x3 + 3x6. Find the first five non-zero terms in the Maclaurin expansion of h@): d) Evaluate the indicated limit. (Use the definition of h@) provided in part (c).) 1 lim 3

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