Answer:
a) we know that this is convergent.
b) we know that this might not converge.
Step-by-step explanation:
Given the
is convergent
Therefore,
(a)
The power series
has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3
∴
is convergent.
(b)
-8 could be right on the edge of the interval of convergence, and so might not converge
Answer:
2 x <u>2</u> + 9 > 11
2 x 2 = 4
4 + 9 = 13
13 > 11
Therefore, x = 2.
Step-by-step explanation:
I hope this helps! ^w^
<span>F for Frank, A or Alice.
F(initial)=1.95 inches
A(initial)=1.50 inches
Frank's equation at .25 inches per year and t representing year variable.
F=1.95+.25t
Alice's equation at .40 inches per year and t representing year variable.
A=1.5+.40t
To figure out how old they will be when their beaks are the same lengths set the equations equal to eachother as the equations are length.
1.95+.25t=1.5+.40t
.45=.15t
t=3 years</span>