Ava45018 Ava45018
  • 11-11-2020
  • Mathematics
contestada

Is there a general rule to convert a function to a power series? Examples would be greatly appreciated:)

Respuesta :

MathPhys
MathPhys MathPhys
  • 11-11-2020

Step-by-step explanation:

Use the Maclaurin expansion:

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) xⁿ / n!

For example, for f(x) = eˣ:

f(x) = ∑ₙ₌₀°° e⁰ xⁿ / n!

f(x) = ∑ₙ₌₀°° xⁿ / n!

Answer Link

Otras preguntas

What are the pros and cons of Brexit?
Im not sure on how to do this and its suppose to be done with substitution method
The last month of the 1. Year is december 2. year is December 3. Year is December 4. year is december
answer the pic below
Is (-5, -8) a solution of y > 3x +6?
WHAT TYPE OF CONFLICT DID CHINA EXERIENCE BEFORE AND AFTER WORLD WAR II??? PLEASE HELP ASAP
can you help me read the problem please the instructions ​
Which of these is an example of pseudoscience? Predicting the time of sunrise based on data on position of Earth Predicting the date of the moon phases based on
How do you graph n<15 on a number line?
While consumers can use ________ to assist them with shopping, retail clerks, salespeople, and technicians can also use them to check manuals for technical info