If an is divergent and c ( 0, show that can is divergent.

Question:

If ∑ an is divergent and c ( 0, show that ∑ can is divergent.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

See More Books

Question Posted: Mar 04, 2016 07:26 AM

See More Questions

Show that if an > 0 and lim n( nan ( 0, then an is divergent.
(a) Suppose that an and bn are series with positive terms and bn is divergent. Prove that if Then an is also divergent. (b) Use part (a) to show that the series diverges. (i) (ii) lim In m In n a-l
Let a > 0. Show that the series (1 + an)-1 is divergent if 0 < a < 1 and is convergent if a > 1.
You measure 30 textbooks' weights, and find they have a mean weight of 72 ounces. Assume the population standard deviation is 4 ounces. Based on this, construct a 90% confidence interval for the true...
If software doesnt wear out, which phase is generally the longest phase in the SDLC? Maintenance begins in the first few weeks of implementation and may last for many years until such time the system...
Bonus: The angle of depression of the top of Billings Building from the roof of the Wolcott Building (in the same vertical plane) is 33.10, and from the 15th floor it is 21.50. If the distance...
Two plates are at temperatures of $T_{1}$ and $T_{2}$ and a chemical reaction is producing heat at a constant rate within the system. Derive a model to predict the temperature distribution within...
Complete the following requirements regarding amortizing copyrights and trademarks: 1. Argyle Publishing Company purchased the copyright to a basic computer textbook for $40,000. The usual life of a...
Over the coming year, Ragwort's stock price might drop from $100 to $50, or it might rise to $200. The one-year interest rate is 10%. What is the delta of a one-year call option on Ragwort stock with...
Raging Sage Coffee is a franchise that sells cups of coffee from a cart in shopping centers. A computerized standard costing system is provided as a part of the franchise package. A portion of the...
Prove part (i) of Theorem 8. If an and bn are convergent series, then so are the series can (where c is a constant), (an + bn) and (an - bn), and (i) ca, c a. -1
Suppose that a series an has positive terms and its partial sums Sn satisfy the inequality Sn 1000 for all n. Explain why an must be convergent.
Frostbite Thermalwear has a zero coupon bond issue outstanding with a face value of $20,000 that matures in one year. The current market value of the firms assets is $21,900. The standard deviation...
An inchworm can travel a distance of 3 yards in its lifetime. What is this distance in cm? Recall (1 yard = 3ft) and (1 inch = 2.54cm)
A motor turns its shaft counterclockwise with a torque of 5Nm. this turns a wheel with a diameter of 1m attached to the shaft. This pulls up a chain which is attached to a 40cm lever. The lever has a...
A simple frictionless pulley hanging from the ceiling of my garage and lifting a mass of 10kg. The pulley has a diameter of 3m, the rope has a diameter of 0.01m. I pulled down on the right side of...
A student leaving campus for spring break wants to make sure the air in his dorm room has a high water vapor pressure so that his plants are comfortable. The dorm room measures 3.45 m 4.64 m 3.63 m...
The internal forces within the train (the forces each car exerts on its neighbors) are equal and opposite, according to Newton's third law. This means they cancel each other out when considering the...
a. How do you feel about distinguished economist Gary Beckers free-market approach to Americas immigration difficulties: In a market economy, the way to deal with excess demand for a product or...
How is use of the word consistent helpful in fraud reports?
Determine whether or not the vector field is conservative. If it is conservative, find a function f such that F = f. F(x, y, z) = yz 2 e xz i + ze xz j + xyze xz k
Use the Divergence Theorem to evaluate S F dS, where and S is the top half of the sphere x 2 + y 2 + z 2 = 1. F(x, y, z) = z'xi + Gy + tan z) j + (xz + y')k %3!
Evaluate the surface integral. ls (x + y + z) dS, S is the part of the half-cylinder x? + z? = 1, z > 0, that lies between the planes y = 0 and y = 2 %3|
Suppose that a lumberyard has a supply of 10-ft boards, which are cut into 3-ft, 4-ft, and 5-ft boards according to customer demand. The 10-ft boards can be cut into several sensible patterns. each...
Explain how the use of bound parameters can help defend against web application exploitation.
Need summary of this article Why can't my new employees write? I heard this question several times on my recent vacation. I go on vacation to get away from these sorts of questions, but vacation was...

If an is divergent and c ( 0, show that can is divergent.

Question:

Step by Step Answer:

Suppose on the contrary that a n b n converges T...View the full answer

Calculus Early Transcendentals

Students also viewed these Calculus questions