Can I get some help with question 12? I need to solve it while making a proof. I’ve asked at least 5 tutors for help and none of
them know what to do.
1 answer:
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Answer:
Radius of convergence of power series is
Step-by-step explanation:
Given that:
n!! = 1⋅3⋅5⋅⋅⋅⋅(n−2)⋅n n is odd
n!! = 2⋅4⋅6⋅⋅⋅⋅(n−2)⋅n n is even
(-1)!! = 0!! = 1
We have to find the radius of convergence of power series:
Power series centered at x = a is:
Applying the ratio test:
Applying n → ∞
The numerator as well denominator of are polynomials of fifth degree with leading coefficients: