1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
raketka [301]
3 years ago
11

What is the radius of convergence of the maclaurin series (2x)/(1+x^2)?

Mathematics
1 answer:
kramer3 years ago
7 0
To solve this problem you must apply the proccedure shown below:
 1. You have to find the radius <span>of convergence of the following Maclaurin series:
 </span>(2x)/(1+ x^{2} )&#10;
 2. Let's take the denominator and find the roots:
 1+ x^{2} =0
 x^{2} =-1 \\ x= \sqrt{-1} \\ x1=i \\  x2=-i
 3. The roots are x1=i \\ x2=-i and the distance from the origin is 1.
 Therefore, the answer is: 1
You might be interested in
I need help with this, it’s counting principles but I don’t know how to do it! Help
aliina [53]
The answer is 2^12 = 4096.

Look at a tree diagram. With one spin there are two possible outcomes (branches). Every time you spin, each of the branches split into two more branches.
With 12 spins, first there are 2 branches, then 2*2, then 2*2*2, ... In the end it's 2^12
7 0
3 years ago
Evaluate 35/a when a=7.
slega [8]

Answer:

5

Step-by-step explanation:

5 0
3 years ago
In the mall 1/15 of the stores sell shoes. There are 180 stores in the mall. How many of the stores sell shoes.
Degger [83]

Answer:

12 stores

Step-by-step explanation:

180 * 1/15 = 180/15 = 12

4 0
3 years ago
Read 2 more answers
Anita and Joelle bowl together and their combined total score for one game was 425 points. Anita’s score was 40 less than twice
makkiz [27]
It would be the last choice Joelle: 155, Anita: 270
6 0
3 years ago
Read 2 more answers
Would appreciate the help ! ​
aleksandr82 [10.1K]

This is one pathway to prove the identity.

Part 1

\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{1}{\tan(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\cot(\theta) = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{\cos(\theta)}{\sin(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)*\sin(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)(1-\cos(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\

Part 2

\frac{\sin^2(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)-\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-(\cos(\theta)-\cos^2(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-\cos(\theta)+\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\

Part 3

\frac{\sin^2(\theta)+\cos^2(\theta)-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1}{\sin(\theta)} = \frac{1}{\sin(\theta)} \ \ {\checkmark}\\\\

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.

We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity \sin^2(\theta)+\cos^2(\theta) = 1 in the second to last step. I broke the steps into three parts to hopefully make it more manageable.

3 0
2 years ago
Other questions:
  • The perimeter of a rectangle is 64 feet. The length of the rectangle is 3 times the width of the rectangle. If w represents the
    12·2 answers
  • Find the equation of the line with a slope of 2/5 and containing the point (10,6).
    9·1 answer
  • Help help help help help Select the equivalent expression (3^2x5^3
    10·2 answers
  • Choose the polynomial that is written in standard form.
    15·2 answers
  • Find the measure of the indicated angle to the nearest degree.
    10·2 answers
  • A survey of sixth-graders students recorded how many hours students studied each week . The histogram below displays the collect
    5·1 answer
  • Answer, please. I need help.
    6·1 answer
  • (~ ̄(OO) ̄)ブ(~ ̄(OO) ̄)ブ
    14·1 answer
  • Been working on #11 for too long thanks :)
    13·2 answers
  • When the speed limit was 55 mph, Bob could cover 400 miles in a day's driving. After the speed limit went up to 70 mph, how far
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!