To use the comparison test for the series > 2n +1 we can compare to the...
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
n-arctan(n) We want to use comparison test in order to determine whether the series is convergent or divergent. Which of the following is correct? n=2n2n+2n +5 Select one O a. It is divergent by comparison test with the series nen O b. It is convergent by comparison test with the series SIS M8 n c. It is divergent by comparison test with the series n=1nn о d. It is convergent by comparison test with the series 1n2 e. It is...
Determine whether 〉· is convergent. Specifically, use the Comparison Test to compare this series to a geometric series. Claim: is convergent (please answer true or false) The common ratio of the geometric series suitable for applying the Comparison Test isr- Claim: bn = 22n+7. 2+7. and an satisfy (1) 0 3 an n for all large n 2 1 or (2)0 Sbn al large n 2 1) (please enter (1) or (2). Determine whether 〉· is convergent. Specifically, use the...
Vn+1 11. According to the Limit Comparison Test, the series does which of the n2+1 following? (a) It converges. (b) It diverges. (e) The test cannot be used here. (d) There is no way to tell. 2n + 5 12. Suppose that we use the Limit Comparison Test to test the series 3n3 + n2 - 4n+1 for convergence. Which of the following series should be used for comparison? (a) n 13+ n2 (b) (c) (d) În
The three series A,, > Bn, and Chave terms 1 В, — 1 C - 1 А, %3 n Use the Limit Comparison Test to compare the following series to any of the above series. For each of the series below, you must enter two letters. The first is the letter (A,B, or C) of the series above that it can be legally compared to with the Limit Comparison Test. The second is C if the given series converges, or...
Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 + 1 lim = L > 0 converges diverges Use the Limit Comparison Test to determine the convergence or divergence of the series. Στέ ο, Vn2 + 7 √2 + 7 lim - =L >0 n00 converges diverges -/2 POINTS LARCALCET6 9.4.016. Use the Limit Comparison Test to determine the convergence or divergence of the series. 61 + 1 70 + 1 6 7 +...
(1 point) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If at least one test can be applied to the series, enter CONV if it converges or DIV if it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must...
(1 point) We will determine whether the series n3 + 2n an - is convergent or divergent using the Limit Comparison Test (note that the Comparison Test is difficult to apply in this case). The given series has positive terms, which is a requirement for applying the Limit Comparison Test. First we must find an appropriate series bn for comparison (this series must also have positive terms). The most reasonable choice is ba - (choose something of the form 1/mp...
(1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either test can be applied to the series, enter CONV if it converges or DIV if it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA...
(1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either test can be applied to the series, enter CONV if it converges or DIV If it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA...