Answer: What rate do you mean? Thanks!
'please excuse me for this'
Answer:
The given series converges and 
Step-by-step explanation:
Given is 108, -18, 3,...
It is an alternate series. An alternate series is convergent if:
1. The series is decreasing.
2. If the last term (n-th term) of series converges to 0.
<u>Since each next term is less than its preceding term, so it is decreasing.</u>
First term, a = 108
Second term = -18
Common ratio, r = -18/108 = -1/6
General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ
<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>
Hence, the given series converges.
Now limit will be: 

Hence, 
Answer:
\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]
Step-by-step explanation:
The first one.
Answer: Choise A and Choise B.
Step-by-step explanation:
Given the following expression:

You can simplify it in order to find equivalent expressions.
Appying the Distributive Property, you get:

So:
1. If you add the like terms, you get this equivalent expression:

2. But if you factor out 3, you get the following equivalent expression:

Therefore, the expression shown in Choice A and Choise B are equivalents to the expression 