
1. (15 pts) Use a convergence test to determine whether the following converge. Don't forget to...
2. Use the limit comparison test to determine whether the following series converge or diverge. n Α.Σ 2 + n3 n=2 2n3 - n B. S 3n5 + 2n2 + 1 n=1 5" c. S 3" + 2 n= In(n) 1 D. Σ (Hint: Try comparing this to n2 n3/2 n=3 n=3 I MIMO Ε.Σ sin (1) (Hint: Try comparing this to n n=1 n=1
7. Determine whether the following series converge or diverge. Show your work for full credit. State the test you use and show the reasoning that allows you to use that test. a) o ni+sin(n) a 2n=1 4+2n-1 Joo 52n+3 c) c) n=1 (2n)!
4. Use the integral test to determine whether the following series converge or diverge. Hint: Use a u-substitution for each integral. n=2 B. nln (n) .nInnInI(n)
4. Use the integral test to determine whether the following series converge or diverge. Hint: Use a u-substitution for each integral. n=2 B. nln (n) .nInnInI(n)
Determine
whether the following SERIES converge or diverge. Your
work should include:
1) the name of the
test used
2) the execution of
the test and any conditions required for execution
3) the conditions for
convergence/divergence
4) conclusion
2 3 6) Please use the integral test for this series; it is not necessary to find the derivative to conclude the function is n(inn) decreasing, but you must state the 3 conditions required. n=2
Use the limit convergence test to determine if the series converge or diverge: Sněl by 5n + 1 3n2 comparing to (Section 9.4) Section n
a) Use the special series and convergence test table to find the sum of the series. Be sure to show all work and substitutions. 00 3 8n NO For parts b, c, d, and e, show that the series converges or diverges. The table of special series and convergence tests should be used. Identify the type of convergence test used and be sure to show all work. (Hint: two should diverge) b) 2 + 7 con Σ Test: (-1) in...
(35 pls) Determine if each of the following seven series converge or diverge. Do not use a test for convergence or a test for divergence more than once. If you use the Integral Test, do not bother to show me that you checked the three prerequisites to that test. i) 2(04-) n.1 ii) (-1)"n(2n)! -1 (n + 1) (2n) 21 n=1 n 3 iii) 2+ n-1 iv) n=0 1+en 00 1 v) n-07T +n* vi) (-1)"e" 1+en n=0 vii) Ž(-1)"...
Determine if each of the following seven series converge or
diverge. Do not use a test for convergence or a test for divergence
more than once. IF you use the Integral Test, do not bother to show
me that you checked the three prerequisites to that test.
Στη n=0π" +η"
Problem 2. (25pts) Use Comparison Test to determine whether the following series are convergence or divergence. a) (12.5 pts) in b) (12.5 pts) -13710
All three questions
Determine whether the following series converge or diverge. Show your work and explain your reasoning. If a series converges, say what it converges to (if possible). Problem 1. Ln(Inn) Problem 2. n=3 nv n2 - 1 $ (-1)"8" Problem 3. 52n