Let a„(x) = (n + 1)²™”, and define f(x) = an(x). n=0 a) Evaluate the following quantities: lim h(x) = an+1(x) an(x) The radius of convergence for f, R = b) At the points x = +R, the series defining f(x)... ? ◆ by the ? c) Now suppose h(x) = f(x¹) - 2x³ + 3x6. Find the first five non-zero terms in the Maclaurin expansion of h(x): lim x→0 = h(x) - 1 ⠀ d) Evaluate the indicated limit. (Use the definition of h(x) provided in part (c).) ( +... 2-¹) = x3 + +

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