Prove that diverges Use 2 n2 (2 n ) n and n n n 00 n 1 2n n ...

Prove that diverges. Use 2 n2 = (2 n ) n and n! n n .

Question:

Prove that 00 n=1 2n n! diverges. Use 2ⁿ² = (2ⁿ)ⁿ and n! ≤ nⁿ.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Dec 21, 2023 06:28 AM

See More Questions

Prove each of the following statements. a) 2n + 1 < 2n for n = 3, 4,.... b) n < 2n for n = 1, 2,.... c) n2 < 2n + 1 for n = 1, 2,.... d) n3 < 3n for n = 1, 2,....
Use Definition 2.14 to prove that each of the following sequences diverges to + or to - . a) xn = n2 - n b) xn = n - 3n2 c) xn = n2+ 1/n d) xn = n2(2 + sin(n3 + n + 1))
Explain the role that culture plays in the formation and maintenance of relationships. Support your response with at least one (1) example of the influence culture has on relationships. Describe one...
What is GST?
Ballack Co.s common stock currently sells for $46.75 per share. The growth rate is a constant 12%, and the company has an expected dividend yield of 5%. The expected long-run dividend payout ratio is...
Why must N be odd in Exercise 3.16? Data From Problem 16 Suppose a ring oscillator is built from N inverters connected in a loop. Each inverter has a minimum delay of t cd and a maximum delay of t pd...
Like the traditional marketplace, the digital marketspace offers marketers opportunities to create time, place, form, and possession utility. How do you think Internet-enabled technology rates in...
In this chapter, you learned about the importance of testing. Design a generic test plan that describes the testing for an imaginary system.
QS 5-8 Recording sales, returns, and discounts taken LO P2 Prepare journal entries to record each of the following sales transactions of a merchandising company. The company uses a perpetual...
Calculate the Maclaurin polynomial T 3 for (x) = tan 1 x. Compute T 3 (1/2) and use the Error Bound to find a bound for the error tan 1 1/2 T 3 (1/2).Refer to the graph in Figure 8 to find an...
We say that {b n } is a rearrangement of {a n } if {b n } has the same terms as {a n } but occurring in a different order. Show that if {b n } is a rearrangement of {a n } and converges absolutely,...
What is the accounting equation? Why must it always balance? lop2
Business Solutions's second-quarter 2022 fixed budget performance report for its computer furniture operations follows. The $175,750 budgeted expenses include $126,000 in variable expenses for desks...
Problem 2 (Numerical Integration) Using switch Statement and functions, write a single code to compute the following integral. 0 10 x +4 dx case 1: RECTANGULAR () // Rectangular rule case 2:...
Do you believe the elasticity of illicit narcotics is inelastic and if legalized demand will not increase? Do you also believe that many of society's social ills associated with drugs will ease not...
Stockstone Limited makes electric kettles that they currently sell at 13 each. The management believes that the company's equipment could currently produce up to 70,000 units of electric kettles per...
Jane Smith has worked for the Widgets, Weezles, and Warblers Corporation for the past 25 years. At a recent "Town Hall" meeting, Jane asked two members of the executive leadership team about their...
What are microalloyed steels?
Provide an example of an aggressive accounting practice. Why is this practice aggressive?
In this section, for what values of n did we prove that d/dx (x n ) = nx n-1 ?
State the derivative rule for the exponential function f(x) = b x . How does it differ from the derivative formula for e x ?
a. Use either definition of the derivative to determine the slope of the curve y = f(x) at the given point P. b. Find an equation of the line tangent to the curve y = f(x) at P; then graph the curve...
3. The nominal interest rate compounded monthly when your $7,000 becomes $11,700 in eight years is ________
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 21% and a standard deviation of return of 39%. Stock B has an expected return of 14% and a...
Advanced Small Business Certifica Drag and Drop the highlighted items into the correct boxes depending on whether they increase or decrease Alex's stock basis. Note your answers- you'll need them for...

Prove that diverges. Use 2 n2 = (2 n ) n and n! n n .

Question:

00 n=1 2n² n!

Step by Step Answer:

Because n 1 diver...View the full answer

Calculus

Students also viewed these Mathematics questions