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(12 points) Determine whether the series listed below are convergent or divergent. Give the sums of the convergent series. 4 3n1 b E n2+4n+3+ 4\" n l c g n(n+3) d. 2 lnn lnfl + 21:). 11:1 (16 points) Determine whether the series listed below are divergent, absolutely convergent (hence convergent), or conditionally convergent. Indicate the tests or result you apply to support your conclusion. co _1)nlEl 00 (8 points) Test the convergence of the series 2 R 6'2\" by applying n=1 :1. The ratio test. b. The integral test. (8 points) Suppose that the function f is represented by the power series 2:2 I3 I4 IS HI)' 52112 531113 ' 541114 55115 i a. Find the radio of convergence of f. b. Find the interval of convergence of f. (6 points) Use Maclaurin series and the Taylor's inequality to estimate the value of 400s 5 to four decimal-place accuracy