Question # 2. (2 marks) Show that the ratio test fails to apply to the series,...
NO Question # 3. (3 marks) Consider the power series, f(x) = Žan(x+1)". Suppose we know that f(-4), as a series, diverges, while f(2) converges. Determine the radius of convergence of the power series for f'(). Precisely name the results we learned in Week 3 that you use, and where you are using them.
0 Question # 3. (3 marks) Consider the power series, f(x) = 3 an(x + 1)". Suppose we know that f(-4), as a series, diveryes, while (2) converges. Determine the radius of convergence of the power series for f'(x). Precisely name the results we learned in Week 3 that you use, and where you are using them.
Test for convergence or divergence of the series and identify the test used. In(n) n n = 2 O diverges by the Direct Comparison Test O converges by the Direct Comparison Test O converges by the p-Series Test O diverges by the p-Series Test Determine the convergence or divergence of the series. (If you need to use co or -, enter INFINITY or -INFINITY, respectively.) 00 į (-1)"(4n – 1) 3n + 1 n = 1 4n - 1 lim...
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...
Question 5 Use the ratio test to determine if the series converges or diverges. ne-7n n=1 Diverges O Converges Question 6 Use the root test to determine if the series converges or diverges. DO Σ n n=1 n6 Diverges Converges
Question: Use the Ratio Test or the Root Test to determine the convergence or divergence of the series. 6. [-/10 Points) DETAILS LARCALC11 9.R.065. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the Ratio Test or the Root Test to determine the convergence or divergence of the series. n-1 converges diverges Submit Answer Vieno Saved Work Revert to Last Response
est the series below for convergence using the Ratio Test 21 n! he limit of the ratio test simplifies to lim lf(n) where Preview Preview The limit is: (enter oo for infinity if needed) Based on this, the series Diverges Converges Test the series below for convergence using the Root Test. 22 E 2n +4 5n + 6 R=1 The limit of the root test simplifies to lim f(n) where 100 f(n) = Preview Preview The limit is: 1 (enter...
Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the convergence or divergence of the series using other methods. (If you need to use coor-69, enter INFINITY OF-INFINITY, respectively.) 3 ni lim x Your answer cannot be understood or graded. More Information 2 converges diverges
Use the Root Test to determine the convergence or divergence of the series. (If you need to use o or -o, enter INFINITY or -INFINITY, respectively.) n = 2 (In(n)) limla,l = n > converges diverges inconclusive
Check if the following series converges absolutely, converges conditionally, or diverges. I know the series converges conditionally. This is determined by testing the series for "normal” convergence with the integral test, comparison test, root test or ratio test. If the series fails to be absolutely convergent the alternating series test is used in step 2. 2n + 3 Σ(-1)*. 3n2 +1 n=1