yogi55hr
2021-11-10
Answered

If $\sum {a}_{n}$ and $\sum {b}_{n}$ are both divergent, is $\sum ({a}_{n}+{b}_{n})$ necessarily divergent?

You can still ask an expert for help

Muspee

Answered 2021-11-11
Author has **13** answers

No.

Example:$\sum {a}_{n}=\sum n\text{}And\text{}\sum {b}_{n}=\sum -n$ are divergent series

But$\sum {a}_{n}+{b}_{n}=\sum n-n=\sum 0=0$ , which is convergent

Results:

No

Example:

But

Results:

No

asked 2021-02-05

The specific gravity of ice is 0.917, whereas that for seawater is 1.025. What fraction of an iceberg is above the surface of the water?

asked 2021-02-26

A tow truck pulls a car that is stuck in the mud, with a force of 2500 N as in Fig P5.27 The tow cable is under tension and therefor pulls downward and to the left on the pin at its upper end. The light pin is held in equilibrium by forces exerted by the two bars A and B. Each bar is a strut that is, each is a bar whose weight is small compared to the forces it exerts, and which exerts forces only through hinge pins at its ends. Each strut exerts a force directed parallel to its length. Determine the force of tension or compression in each strut. Proceed as follows Make a guess as to which way (pushing or pulling ) each force acts on the top pin Draw a free-body diagram of the pin. Use the condition for equilibrium of the pin to translate the free-body diagram into equations. From the equations calculate the forces exerted by struts A and B. If you obtain a positive answer, you correctly guessed the direction of the force. A negative answer means the direction should be reversed, but the absolute value correction should be reversed, but the absolute value correctly gives the magnitude of the force. If a strut pulls of a pin, it is in tension. If it pushes, the strut is in compression. Identify whether each strut is in tension or in compression.

asked 2021-04-06

Assign a binary code in some orderly manner to the 52 playingcards. Use the minimum number of bits.

asked 2021-02-19

Three Children are trying to balance on a seesaw, which consists of a fulcrum rock, acting as a pivot at the center, and avery light board 3.6 m long. Two playmates are already on either end. Boy A has a mass of 50kg, and girl B a mass of 35 kg. Where should girl C, whose mass is 25 kg, placed herself so as to balance the seesaw.

asked 2021-08-12

2 triangles are proportional to each other.

Find

asked 2021-12-15

The energy flow to the earth from sunlight is about $1.4{\left\{k\frac{W}{m}\right\}}^{2}$ .

(a) Find the maximum values of the electric and magnetic fields for a sinusoidal wave of this intensity.

(b) The distance from the earth to the sun is about$1.5\times {10}^{11}m$ Find the total power radiated by the sun.

(a) Find the maximum values of the electric and magnetic fields for a sinusoidal wave of this intensity.

(b) The distance from the earth to the sun is about

asked 2021-08-16

Jane charges $5 per hour for babysitting. Last week, she earned a total for $55. Which of following equations could be used to find the number of hours h she babysat last week?

A.

B.

C.

D.