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Which of the following series converge absolutely, which converge conditionally, and which diverge? (-1)on 2n 1. Zn=2 3-5 Soo (-1)" n2+1 2. Zn=0 n2+n+8 In the following exercises, identify the values of x for which the series converges (a) absolutely and (b) conditionally So (-1)n (3x-1)n 11. Zn=1 n2 4. o (-1)n+1 (-1) (x-1)2n+1 Zn=1 Jn+1+vn n=0 2n+1 Too (-1)n+1/1 (2x)n n Inn 13. 2n=1 In 6. 2n=3(-1)n 3n-3 50-10 14. Zn-on! 7 2n=1(-1)n+in2 15. Find the Taylor polynomials of order 1, 1, 2, and 3 generated by 1 f(x) -at a-2 (-1)n 8. Zn=1 5 16. Same as #15 with f(x) and a 3 X +1 9n4+3