For given power series the radius of convergence is 2.
For given question,
We have been given a power series
We need to find the radius of convergence of the power series.
We use ratio test to find the radius of convergence of the power series.
Let
Consider,
By Ratio test, given power series converges at
⇒ |x| < 2
So, the radius of convergence is 2.
Therefore, for given power series the radius of convergence is 2.
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Answer:
Infinite solutions
Step-by-step explanation:
Ok so divide 39 by 4 which is 9.75 then mulitiply that by 3 to get your answer of $29.25
The percentage rate of increase is 36.2% and the exponential function represent the growth.
<h3>What is an exponential function?</h3>
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent
where 'a' is a constant and a>1
We have exponential function:
If we compare with
If 1+r > 1
1.362 > 1
So the growth rate r is
1 + r = 1.362
r = 0.362
r = 0.362×100
r = 36.2%
Thus, the percentage rate of increase is 36.2% and the exponential function represent the growth.
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Answer:
6 miles
Step-by-step explanation:
The benchmark number are 0 1/2 and 1, so we round to the nearest whole number or 1/2 number
3 1/8 miles is close to 3
2 5/6 miles is close to 3 (5 is very close to 6 to 5/6 is close to 1)
We are adding
3 1/8 + 2 5/6
3 + 3 = 6
About 6 miles