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
34kurt
3 years ago
14

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that

Rn(x) → 0.] f(x) = 4 x , a = −2
Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0

Answer:

4x

Step-by-step explanation:

The Taylor series of a function f(x) about a value x = a is given by f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ... where the terms in f prime f'(a) represent the derivatives of x valued at a.

For the given function, f(x) = 4x and a = -2

So, f(a) = f(-2) = 4(-2) = -8

f'(a) = f'(-2) = 4

All the higher derivatives of f(x) evaluated at a are equal to zero. That is f''(a) = f'"(a) =...= 0

Substituting the values of a = -2, f(a) = f(-2) = -8 and f'(-2) = 4 into the Taylor series, we have

f(x) = f(-2) + f'(-2)(x - (-2))/1! + f''(-2)(x - (-2))²/2! + f'''(-2)(x - (-2))³/3! +...

= -8 + 4(x + 2)/1! + (0)(x + 2)²/2! + (0)(x + 2)³/3! +...

= -8 + 4(x + 2) + 0 + 0

= -8 + 4x + 8

= 4x

You might be interested in
What is 18.386 rounded to the nearest Hundred
jonny [76]
This will be 18.39, 6 is higher than 5, so the 8 is going higher so it's a 9 and you will get 18.39
8 0
3 years ago
Someone please give me the answers for this lol​
Lana71 [14]

Answer:

A is the correct answer.

Step-by-step explanation:

y and x meet on those numbers. And i did the test.

hope this helps

8 0
2 years ago
Read 2 more answers
I need help can tell me tell me on a playground what is something that is shorter than a meter
Novosadov [1.4K]
One meter is 3.28 feet, so anything shorter than that. A basketball, maybe a very young child?
8 0
3 years ago
Read 2 more answers
1.<br> Does the equation y = -x + 2 have a<br> positive or negative slope?
I am Lyosha [343]
This equation will have a Negative
5 0
3 years ago
Read 2 more answers
Someone please help I will mark you as brainliest
irakobra [83]

Answering pretty sure yes

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is the answer to -19+12
    9·2 answers
  • Your task is to build a road joining a ranch to a highway that enables drivers to reach the city in the shortest time. The perpe
    12·1 answer
  • 2x+5= -25 and -3m-6= 40 <br><br> What is the product of x and m?
    15·1 answer
  • Find the measure for angle B.
    7·1 answer
  • How to make 2 6/11 into a improper fraction and plz show your work my brain is not that smart
    13·1 answer
  • How do you solve x 1/2 power + 2
    12·1 answer
  • Need help on this ttm question ASAP
    12·1 answer
  • Equation practice with angle addition ​<br>please help guys ❤
    14·2 answers
  • Length of an equilateral triangle with side root3
    9·1 answer
  • What is the y-intercept of the line given by the equation y=4.2x - 6.3
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!