Question: 1. Find the Maclaurin series for f(x) = 27 using the definition of Maclaurin series. Also, find the associated radius of convergence. 2. Find the

 1. Find the Maclaurin series for f(x) = 27 using the

1. Find the Maclaurin series for f(x) = 27 using the definition of Maclaurin series. Also, find the associated radius of convergence. 2. Find the Maclaurin series for f(x) = In(1 + x) using the definition of Maclaurin series. 3. Use the binomial series to expand the function f(x) as a power series. State the radius of convergence. (a) f(x) = Vr + 8. (b) f(x) = (1-x)5/7. 4. Evaluate fer de as an infinite series

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