Question: Consider the following function. f(x) = In(1 + 4x) Complete the table. f ( n) (0 ) 0 1 4 -8 X 64 X -768

Consider the following function. f(x) = In(1 + 4x) Complete the table. f ( n) (0 ) 0 1 4 -8 X 64 X -768 X Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R (x) - 0.] R( x ) = (4x) " n = n X Find the associated radius of convergence R. R = 1 X

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