MATH 221 Midterm: MATH 221 KSU Test 3s03

• School: Kansas State University
• Department: Mathematics
• Course: MATH 221
• Professor: All

Document Summary

Work as many of the following problems as you can in one hour. No calculators are permitted for this exam. page. Find the sum of each of the following series. Lower index of summation; i. e. , where the sum starts. ] (a) Use the integral test to determine the convergence or divergence of. 1 n ln(n))2 . ( 8 8 ) 3. For each of the following, determine whether the given series converges or diverges. If the series is alternating, determine also whether it converges absolutely or conditionally. State clearly which test you are using, and im- plement the test as clearly and succinctly as you can. As you know, the alternating 2-series s = n2 converges. With the aid of a calculator, one easily nds that n2 0. 8380. Would it be correct to say that 0. 84 is an accurate approximation of s , correct to within 1. As you also know, the 3-series s =