MATH-175 Midterm: MATH 175 Boise State Exam2 shortfa16
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2. (a) (10 points) order the following series according to tail thickness in the blanks below: 2n (b) clearly indicate which of the above series are convergent and which are divergent: (12 points) find the limit of the following sequences. Use as appropriate. (a) lim n (b) lim n (c) lim n . 1 + 2n+1 : (15 points) consider the sequence an = 12 n + 1 (a) graph the sequence from n = 0 to n = 5 on the grid below. Add axes to the grid and properly label your graph. (b) on your graph, draw and shade rectangles that correctly represent. 1: (6 points) two graphs of a sequence an, a matching function f (x) and the nite sum p4 are shown below n=2 an (a) determine which of the following is larger. 1 f (x)dx (b) determine which of the following is larger.