100 100 18. k. 19. E k. k=3 k= 1 20 100 20. 2 (7k + 1). k = 1 21. Σ2 k 1 20 6. 22. Σ 23. (4k3 – 2k + 1). k=4 k = 1 6. 30 do not 24. E (k - k°). 25.) k(k - 2)(k + 2). k = 1 k=1 In Exercises 26-30,...

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Extracted text: 100 100 18. k. 19. E k. k=3 k= 1 20 100 20. 2 (7k + 1). k = 1 21. Σ2 k 1 20 6. 22. Σ 23. (4k3 – 2k + 1). k=4 k = 1 6. 30 do not 24. E (k - k°). 25.) k(k - 2)(k + 2). k = 1 k=1 In Exercises 26-30, express the sum in closed forrn. n-1 26. (a) 2 (4 k – 3) (b) k?. k=1 k=1 2 3k 27. E 28. k=1 ban en 30. n-1 2k 29 in k=1 k=1 - 1 In Exercises 31-35, the limit of a function of n is given. 4)h.h Express the function of n in closed form, then find the limit. [Note: Although n assumes only integer values, the limits can be calculated using the same techniques that we have been using for functions of a real-valued variable x. Functions of integer-valued variables will be studied in more detail later.] 1+2+3+ +n lim 31. n° n→+ o 1/5