Ratio test:
It's easy to show the remaining limit is 1.
The ratio test says that if this limit is less than 1, then the series converges. So the series will converge for any
satisfying
which means the radius of convergence is
, and the interval of convergence is
.
We're not finished, though, as we still need to check the endpoints of the interval.
When
, we have
which converges by the alternating series test, as
is strictly decreasing for
On the other hand, when
, we get
which is a divergent
-series.
Therefore the complete interval of convergence is
.
The correct answer is x2(x+4) + 5(x+4)
That is the second choice.
I hope this helps!!
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Answer:
undefined
Step-by-step explanation:
i think its undefined
Answer:
x^6y^3
Step-by-step explanation:
<u>Given polynomial:</u>
<u>Get prime factors:</u>
- 2*2*2*x*x*x*x*x*x*y*y*y*y*y - 3*x*x*x*x*x*x*x*x*y*y*y
<u>Common factors of the two terms:</u>
- x*x*x*x*x*x*y*y*y = x^6y^3
<u>So</u>
x^6y^3 is the GCF of this polynomial