Answer:
The series representation is 
and the interval of convergence is (-6,6)
Step-by-step explanation:
We want to find a series, such that f(x) = \sum_{n=0}{\infty}a_n(x-a)^{n}[/tex], were a is the value that we are using to center the series expansion. In our case, a=0.
We will use the geometric series formula as follows. For |r|<1 then
In our case, with some algebreaic manipulation we have that
Taking 
we get that
This representation is valid (that means that the series converges to the value of f(x)) only for |r|<1. That is
which implies that |x|<6. So the interval of convergence is (-6,6).
Answer:
1/6
Step-by-step explanation:
A regular number cube has 6 different sides, so the probability of it landing on any side is 1/6. There are 6 possible sides, so landing on a 4 is one of the six possible outcomes.
Hope I helped! Good luck!
Answer:
50%
Step-by-step explanation:
increase = 120 - 80 = 40 which is 50 % of 80
Answer:
30 cans
Step-by-step explanation:
We can use ratios
15 cans x cans
---------------- = ------------------
7*2 people days 4*7 people days
Using cross products
15 * 28 = 14 * x
Divide by 14
15 * 28/14 = x
30 =x
Minimum is 25% for housing
1248.90 / 0.25 = $4995.60 per month
