MATH 133 Midterm: MATH 133 McGill Examf97

• School: McGill University
• Department: Mathematics and Statistics
• Course: MATH 133
• Professor: All

Document Summary

December 10, 2014: determine if the series is convergent or divergent by making a comparison (dct or lct) with a suitable bn. C if the series to the left is convergent. Then write a sequence that could be used to make your comparison. You do not need to show any work. We can use the fact that ln(n) nd (eventually). Using d = 1/2 and doing some algebra gives n3/2. 1 an = ln(n) n2 n1/2 n2 = From algebra (bigger denominator means smaller fraction) we know that. 9n for all n. only one of these sequences gives us a convergent series and that is. We know that 1 sin(n) 1 for all n. then 2 2 sin(n) 2 and 1 3 + 2 sin(n) 5. Answer the following questions about the series by lling in the blanks. For convergent or divergent write convergent or c if the series to the left is convergent.