Question

Use a comparison test to prove the following (here M1 and M2 are constants) if ak...

Use a comparison test to prove the following (here M1 and M2 are constants) if ak > 0 , bk >0 and <>a</>k / bk <= M1 , bk / ak <= M2 for all K then sum of ak and the sum of bk either both converges

or both diverge

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use the limit comparison test to determine whether the series Σ∞ n=1 (2^n)/(3+4^n) converges or diverges....
Use the limit comparison test to determine whether the series Σ∞ n=1 (2^n)/(3+4^n) converges or diverges. Show your work. What series did you use for the comparison? How did you figure out the behavior (converge or diverge) of the series that you used for the comparison?
Prove that the integral from 0 to Infinity (sin^2(x)e^-x)dx converges using the comparison test.
Prove that the integral from 0 to Infinity (sin^2(x)e^-x)dx converges using the comparison test.
1.- Prove the following: a.- Apply the definition of convergent sequence, Ratio Test or Squeeze Theorem...
1.- Prove the following: a.- Apply the definition of convergent sequence, Ratio Test or Squeeze Theorem to prove that a given sequence converges. b.- Use the Divergence Criterion for Sub-sequences to prove that a given sequence does not converge. Subject: Real Analysis
1. To test the series ∞∑k=1 1/5√k^3 for convergence, you can use the P-test. (You could...
1. To test the series ∞∑k=1 1/5√k^3 for convergence, you can use the P-test. (You could also use the Integral Test, as is the case with all series of this type.) According to the P-test: ∞∑k=1 1/5√k^3 converges the P-test does not apply to ∞∑k=1 1/5√k^3 ∞∑k=1 1/5√k^3 diverges Now compute s4, the partial sum consisting of the first 4 terms of ∞∑k=1 1 /5√k^3: s4= 2. Test the series below for convergence using the Ratio Test. ∞∑n=1 n^5 /1.2^n...
Determine whether each of the following series converges or not. (Name the test you use. You...
Determine whether each of the following series converges or not. (Name the test you use. You do not have to evaluate the sums of these series). Please write as big and neatly as possible in your answer, demonstrating all steps. a) Sum infinity n = 1 of square root n/n^3+1 b) Sum infinity n = 2 of 1/nln(n)
Determine whether each of the following series converges or not. (Name the test you use. You...
Determine whether each of the following series converges or not. (Name the test you use. You do not have to evaluate the sums of these series). Please write as large and neatly as possible in your answer for ease of reading, demonstrating all steps. Thank you. a) Sum infinity n = 1 of square root n/n^3+1 b) Sum infinity n = 2 of 1/nln(n)
This is C programming assignment. The objective of this homework is to give you practice using...
This is C programming assignment. The objective of this homework is to give you practice using make files to compose an executable file from a set of source files and adding additional functions to an existing set of code. This assignment will give you an appreciation for the ease with which well designed software can be extended. For this assignment, you will use both the static and dynamic assignment versions of the matrix software. Using each version, do the following:...
For each of the following exercises: For each test use either the critical value or the...
For each of the following exercises: For each test use either the critical value or the P-value method you are not required to use both. a.) State the claim and the hypothesis. b.) Find the critical value(s) and describe the critical (rejection) region You can choose to use the P-value method in this case state the P-value after the test value. c.) Compute the test value (statistic) d.) Make a decision e.) Summarize the results (conclusion) A study was conducted...
You wish to test the following claim (Ha) at a significance level of α=0.001       Ho:μ1=μ2       Ha:μ1≠μ2...
You wish to test the following claim (Ha) at a significance level of α=0.001       Ho:μ1=μ2       Ha:μ1≠μ2 You believe both populations are normally distributed, but you do not know the standard deviations for either. Use non-pooled test. You obtain a sample of size n1=17 with a mean of M1=51.4 and a standard deviation of SD1=16.2 from the first population. You obtain a sample of size n2=23 with a mean of M2=65.4 and a standard deviation of SD2=18.4 from the second population....
Learning Goal: To understand reaction order and rate constants. For the general equation aA+bB?cC+dD, the rate...
Learning Goal: To understand reaction order and rate constants. For the general equation aA+bB?cC+dD, the rate law is expressed as follows: rate=k[A]m[B]n where m and n indicate the order of the reaction with respect to each reactant and must be determined experimentally and k is the rate constant, which is specific to each reaction. Order For a particular reaction, aA+bB+cC?dD, the rate law was experimentally determined to be rate=k[A]0[B]1[C]2=k[B][C]2 This equation is zero order with respect to A. Therefore, changing...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT