Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Find a power series representation for the subsequent function and find out its interval of convergence.
g (x) = 1/1+x3
Solution
What we require to do here is to relate this function back to f (x) = 1/ (1-x). In fact this is easier than it might look. Remind that the x in f (x) = 1/ (1-x) is simply a variable and can represent anything. Thus, a quick rewrite of g(x) gives,
g (x) = 1/ 1- (-x3)
and so the - x3 in g (x) holds the same place as the x in f (x) = 1/ (1-x). Therefore, all we need to do is replace the x in
and we've got a power series representation for g (x).
Note: we replaced both the x in the power series and in the interval of convergence.
All we need to do now is a modest simplification.
Thus, in this case the interval of convergence is similar as the original power series. This generally won't happen. Much more frequently, than not the new interval of convergence will be dissimilar from the original interval of convergence.
verify 4(sin^4 30^0+cos60^0 )-3(cos^2 ?45?^0-sin^2 90^0 )=2
my daughter is having trouble with math she cant understand why please help us
In pharmaceutical product research doctors visit the place to learn what
i want some assignment for earning i am mathematics expert plz provide us mathematics assignment as soon as possible
Christie purchased a scarf marked $15.50 and gloves marked $5.50. Both items were on sale for 20% off the marked price. Christie paid 5% sales tax on her purchase. How much did she
Define an ordered rooted tree. Cite any two applications of the tree structure, also illustrate using an example each the purpose of the usage. Ans: A tree is a graph like t
S olve the subsequent IVP. dv/dt = 9.8 - 0.196v; v(0) = 48 Solution To determine the solution to an Initial Value Problem we should first determine the gen
Intermediate Value Theorem Suppose that f(x) is continuous on [a, b] and allow M be any number among f(a) and f(b). There then exists a number c such that, 1. a 2. f (
THE PREREQUISITES FOR MULTIPLICATION : The word 'multiply', used in ordinary language, bears the meaning 'increase enormously For instance, bacteria multiply in favourable conditi
how to do mathematical proofs
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd