What is the interval of convergence of ##sum (x^(2n) )/( (2n)! )##?
For all ##x in RR##
We know that
##e^x = sum_k x^k/(k!)##
and that
##e^x + e^(-x) = 2sum_k x^(2k)/((2k)!) = 2cosh(x)##
so
##sum_k x^(2k)/((2k)!) = cosh(x)## which converges
for all ##x in RR##
Need a custom paper ASAP?
We can do it today.
We can do it today.
Tailored to your instructions. 0% plagiarism.
Top-quality papers guaranteed
100% original papers
We sell only unique pieces of writing completed according to your demands.
Confidential service
We use security encryption to keep your personal data protected.
Money-back guarantee
We can give your money back if something goes wrong with your order.
Enjoy the free features we offer to everyone
-
Title page
Get a free title page formatted according to the specifics of your particular style.
-
Custom formatting
Request us to use APA, MLA, Harvard, Chicago, or any other style for your essay.
-
Bibliography page
Don’t pay extra for a list of references that perfectly fits your academic needs.
-
24/7 support assistance
Ask us a question anytime you need to—we don’t charge extra for supporting you!
Calculate how much your essay costs
What we are popular for
- English 101
- History
- Business Studies
- Management
- Literature
- Composition
- Psychology
- Philosophy
- Marketing
- Economics
