Problem #1: Find the sum of the following series. 1 1 (a) 8+ 2+ + CO| P + + + 32 128 512 (b) go 2 n (n + 2) 1=2 Problem #1(a): Problem #1(b):Problem #2: GD Suppose that the nth partial sum of the series 2 an is SH = j: I 2.1) . n=1 (a) Find 04 . (b) 0" Find 2 an . n=1 Problem #3: Find all values of p such that the following series is convergent. 1=1 (A) 0

7 (H) pzi Problem #3: Select vProblem #4: Use the integral Test (or any other method) to determine which of the following series converge. (A) (i) and (iii) only (B) (iii) only (C) (i) only (D) none of them (E) (ii) and (iii) only (F) (i) only (G) all of them (H) (i) and (ii) only PI'OIJIEITI # 5: According to the integral estimate, what is the smallest number of terms of the series 03 l 2 \"3 that would have to be added in order to estimate its sum with an error that is n=l less than .00001? Problem #5: |:|