(a) Find the Maclaurin series for the function f(x)= ln(1+x) and hence that for In(1+x) (b)...

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(a) Find the Maclaurin series for the function f(x)= ln(1+x) and hence that for In(1+x) (b) By keeping the first four terms in the Maclaurin series for In(1+x) integrate the function In(1+x) from x = 0 to x = 1. (c) Estimate the magnitude and X sign of the error made in evaluating the integral in this way. (d) Confirm that your results are consistent with the alternating series estimation theorem by evaluating the integral on the GDC. (a) Find the Maclaurin series for the function f(x)= ln(1+x) and hence that for In(1+x) (b) By keeping the first four terms in the Maclaurin series for In(1+x) integrate the function In(1+x) from x = 0 to x = 1. (c) Estimate the magnitude and X sign of the error made in evaluating the integral in this way. (d) Confirm that your results are consistent with the alternating series estimation theorem by evaluating the integral on the GDC.

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