Ask a New Question

Asked by bob

write a power series for e to the 2x and find the interval of convergence
15 years ago

Answers

Answered by drwls
Since e^x = 1 + x + x^2/2! + x^3/3! + ...

e^2x = 1 + 2x + 4x^2/2! + 8x^3/3! + ...

It converges for all x.
15 years ago
There are no AI answers yet. The ability to request AI answers is coming soon!

Submit Your Answer


We prioritize human answers over AI answers.

If you are human, and you can answer this question, please submit your answer.

Related Questions

We can use this power series to approximate the constant pi: arctan(x) = (summation from n = 1 to... Given power series ∞ ∑ (2x+5)^n / n4^n, determine the following.... Use division of power series to find the first three terms of the Maclaurin series for y = sec x. How do we find power series when given a function? does infinite power series -1/n diverge? (i think so, because it is just the negative of the harmoni... state the power series of an appropriate familiar function and use it to calculate the power series... we are to find the power series solution for y'=xy. I have calculated to the point that I believe... In a series circuit, the power source is 9-volt battery and three resistors. R1=7ohm R2=9ohm R3=... Find a power series whose sum is: (a) 5 / (1-3x) (b) 9 / (1-4x) (c) 6 / (2-4x) Use power series division to find the Maclaurin series for f(x) = 1/ ( 1+(x^3) ).
Submit Your Answer

Question

write a power series for e to the 2x and find the interval of convergence

Ask a New Question
Archives Contact Us Privacy Policy Terms of Use