Jause the series ER=1(41)k1 *) = In (1+x), for-1 < x≤ 1 to determine the Maclaurin series and the interval of convergence for the function f(x) = ln (1-5x²). Write out the series using summation notation and write it out as a sum of at least the first 4 terms (with ellipsis). b) Use the series for f(x) = ln (1-5 x²) that you found in part (a) to evaluate the limit: limx→0 5x²+In(1-5x2) 3x4

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