Calc 2 questions super lost! Evaluate a power series to find the sum of the series, or show that the series diverges. (If a series diverges, enter DIVERGES.)? (a) #11/1-11/3+11/5-11/7+11/9-11/11+....# (b)#sum_(n=2)^oo ((-1)^n(8^n))/(n!) #
please help not sure how to do it. I know they are both convergent.
please help not sure how to do it. I know they are both convergent.
1 Answer
May 17, 2018
(a)
(b)
Explanation:
Both of these series converge, as can be easily seen from the standard tests.
(a)
We know
Hence
and so
Substituting
Thus
Now
Thus
So the given series
(b)