Question: Suppose that lim n a n 2 = 4 . Does { a n } converge? Does { | a n | } converge?

Suppose that limnan2=4. Does {an} converge? Does {|an|} converge?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Each of the following statements is an attempt to show that a given series is convergent or divergent not using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C (for...

Q:

The following table gives the the approximate amount of emissions, E, of nitrogen oxides in millions of metric tons per year in the US. Let t be the number of years since 1940 and E = f(t). t 1940...

Q:

6' Consider the integral dax. Which of the following expressions represents the integral as a limit of Riemann N 1 + 25 sums? n 2 + 62 OA. lim 5 i= 1 1 + 2+ 62 n 2+ OB. lim M n - 0 n 5 i=1 1 + 2 + 62...

Q:

(Chebychev's LLN) Show that Chebychev's LLN (Theorem 8) need not require independence or identical distributions using the following exceptions to the conditions of the theorem. In each case, use the...

Q:

Example 3. Does the series below converge or diverge. Justify your response. n n=1 Hint: Consider lim n In (1+ 2). n-+00

Q:

Example 3. Does the series below converge or diverge. Justify your response. n n=1 Hint: Consider lim n In (1+ 2). n-+00

Q:

Please help with question #1 only, please have solution similar to the format used in question #2. And #3 Find the interval of convergence of En=1(-1)" -3 73 ( x + 2 ) n 2.) Find the radius of...

Q:

Assignment 1. Consider the function f(x) = x5 4x + 4x + 4 over the interval [-1,0]. a) Determine the right-hand Riemann sum. Will this be an overestimate or an underestimate? b) Determine the...

Q:

Let An, n = 1, 2,..., be independent events in the probability space ((, A, P), and suppose that lim n( An exits, call it A. Then show that P(A) = 0 or P(A) = 1.

Q:

1. Consider the following model with two assets and three states, and suppose that r=0%. n 1 2 Sn(0) 4 10 Sn(1,wi) Sn(1,w2) Sn(1,w2) Sn(1,W3) 6 8 4 12 8 7 Show that there exists a portfolio H which...

Q:

The Fourier transform integral - infinity to infinity (d.x.f (x). e^i.k.x) of the function f(x) = e^-x

Q:

On January 1, 1988, Wanda received a deferred perpetuity paying $3000 on July 1 of even numbered years beginning on July 1, 1996, and $1200 on July 1 of odd years beginning on July 1, 1997. The...

Q:

Which of the following statements is correct regarding the physical observation of inventory? A . Auditors must count every piece of inventory B . Auditors may choose to count either beginning...

Q:

A particle is moving in three dimensions and its position vector is given by; r(t) = (4, 4t + 2, 3t)i + (4, 5t - 2, 3)2 + (3, 3t + 3, 1t)k where r is in meters and t is in seconds. Determine the...