MTH 240 Midterm: MTH240 W2017 Midterm 2
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Determine whether each of the following series is convergent or divergent. convergent nd its value. 4(cid:12)(cid:12) < 1 this is a convergent series and so its value is. 4 3 = 12 3 = 9. This is not the only correct answer. n3 1) = cos( lim n n n3 1) = cos(0) = 1 = 0 so this series. Use the integral test to determine whether the following series is convergent or diver- gent. n + n + 1 (n + 1)4. Note: no credit will be given if a di erent method is used. Solution: x + x + 1 (x + 1)4. 1 dx (x + 1)3 + (x + 1)4. 20 (x + 1) 2 (t + 1) 2 . = lim (x + 1) 5/2 + (t + 1) 5/2 + 1 (x + 1)4] dx (x + 1) 3]t (t + 1) 3] [ .
