Comparison tests Use the Comparison Test or the Limit Comparison Test to determine whether the following series converge.
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- ✓ Q N For the series -e, determine which convergence test (if any) is the best to use. Select the correct answer below: @ O The alternating series test. The ratio test. The root test. O The limit comparison test. O None of the above. 2 W ∞0 Content attribution S X n=1 H command # 3 80 E D C $ 4 R F % 5 V T G ^ X6 MacBook Pro Y & 7 H U N * 00 8 J - M - 9 K O ) 0 < I H FEEDBACK 4 P A command را 0arrow_forwardn3 Use the limit comparison test with the p-series to determine whether S 2n5 – 4n – 1 converges or diverges. n=2 The limit comparison test cannot be applied to these two series. S converges. S diverges. The test is inconclusive.arrow_forwardBinomial seriesa. Find the first four nonzero terms of the binomial series centered at 0 for the given function.b. Use the first four terms of the series to approximate the given quantity.arrow_forward
- Find a power series representation for the function and determine the radius of convergence.arrow_forwardI need help on this. Thank youarrow_forwardk(2+2i)k 3k answer and specify which convergence or divergence tests you used. (14) 4. Decide if the series E, converges or diverges. Explain your (15) 5. Find all values of i'.arrow_forward
- A FINAL EXAM TO BE COMPLETED INDEPENDENTLY. 13. Consider the four p-series listed below. Briefly explain whether each series converges or diverges. (a) 2n-1 no3 (b) 1n-4 1 (c) En 1 (d) E -1arrow_forwardIf a growth series and a linear series are specified that start at 1 and have a step value of 2, which series has a larger value when the 10th value is reached in each series? O The growth series is not provided by Excel O The growth series They are equivalent O The linear seriesarrow_forward05* Let p, q> 0. Find the relation of p and q so that the following series is convergent. p>1 and p=1,q>1 p1 p1 and p=1, q<1 8 n=1 1 n²(Inn)arrow_forward
- Assuming a series of 2000 values of Y if Var(Y) = 25. Suppose that pk=(-0.4)|K|. Then Var(Y) is approximated to: Select one: a. 0.00536 b. 0.11548 c. 0.02917 d. 0.04342arrow_forward[3] Determine if the series converges or diverges.arrow_forwardState whether it converges or diverges. Justify it using either a basic divergence, integral, basic comparison, limit comparison, alternating series, root or ratio testarrow_forward
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