MATH 141 Study Guide - Midterm Guide: Ratio Test, Direct Comparison Test, Integral Test For Convergence

3, Determine whether the series Σ(04)-" converges or diverges. A) The series converges since it is a convergent geometric series. B) The series diverges since it is a divergent geometric series. C) The series converges since it is a convergent p-series. D) The series diverges since it is a divergent p-series. E) The series converges by the Integral Test F) The series diverges by the IntegralTest. G) The series converges by the Alternating Series Test H) The series diverges by the Alternating Series Test n=1

3n2 2. Determine whether the series Σ converges or diverges. A) The series converges by the Divergence Test. B) The series diverges by the Divergence Test. C) The series converges since it is a convergent geometric series. D) The series diverges since it is a divergent geometric series E) The series converges by the Integral Test. F) The series diverges by the Integral Test. G) The series converges by the Alternating Series Test H) The series diverges by the Alternating Series Test. n=1

Select the FIRST orect reason why the given series converges. A. Convergent geometric series B. Convergent p-series C. Integral test D. Comparison with a convergent p-series E. Converges by limit comparison test F Converges by alternating series test 4 1. nln(n)) è·³. n= 1 -1 In(7n) n= 1 5. n= 1 6. n= 1