Radius of Convergence of the Power Series
Not what you're looking for?
Complex Variable
Radius of Convergence of the Power Series
∞ ∞
Theorem:- ∑ anzn is a power series and ∑ nanzn - 1 is the power series obtained
n=0 n=0
by differentiating the first series term by term.
Then the derived series has the same radius of convergence as the original series.
See the attached file.
Purchase this Solution
Solution Summary
This solution is comprised of a detailed explanation of the radius of convergence of the
∞
power series ∑ anzn.
n=0
It contains step-by-step explanation for the following problem:
∞ ∞
Theorem:- ∑ anzn is a power series and ∑ nanzn - 1 is the power series obtained
n=0 n=0
by differentiating the first series term by term.
Then the derived series has the same radius of convergence as the original series.
Solution contains detailed step-by-step explanation.
Solution Preview
Complex Variable
Radius of Convergence of the Power Series
...
Education
- BSc, Manipur University
- MSc, Kanpur University
Recent Feedback
- "Thanks this really helped."
- "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
- "Very nice thank you"
- "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
- "You are awesome. Thank you"
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.