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kirza4 [7]
3 years ago
6

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n

ot show that Rn(x) → 0.] Find the associated radius of convergence R. f(x) = 6(1 − x)−2
Mathematics
1 answer:
weeeeeb [17]3 years ago
6 0

I guess the function is

f(x)=\dfrac6{(1-x)^2}

Rather than computing derivatives of f, recall that for |x|, we have

g(x)=\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n

Notice that

g'(x)=\dfrac1{(1-x)^2}

so that f(x)=6g'(x). Then

f(x)=6\displaystyle\sum_{n=0}^\infty nx^{n-1}=6\sum_{n=1}^\infty nx^{n-1}=6\sum_{n=0}^\infty(n+1)x^n

also valid only for |x|, so that the radius of convergence is 1.

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Two step equations that equal 14
Marizza181 [45]

Answer:

x=2

Step-by-step explanation:

2x+10=14

2x=14-10

2x=4

x=4/2

x=2

4 0
3 years ago
Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
denis23 [38]
<h2>Answer: 2.8 miles</h2>

Step-by-step:

We can write it in the proportion \frac{7}{60} = \frac{x}{24}

where x is our number of miles trying to find

We now cross multiply or use the butterfly method which I will demonstrate both

<h3>Cross Multiply</h3>

We multiply the numerator with the dominator

so 7 multiplied by 24

and 60 multiplied by x

7*24=60x

168=60x

\frac{168}{60} =\frac{60x}{60}

2.8=x or x=2.8

Now for the

<h3>Butterfly Method </h3>

You would do 7 times 24 divided by 60 or \frac{7*24}{60}

Then\frac{168}{60} simplify

2.8 so 2.8 miles in either method

3 0
3 years ago
Please Answer! I have been working on this for an hour and can't get it!
Ronch [10]
The answer is B = (-1, -5)

Because -1 to 4 is 5 which is the run from
rise/run
So we would apply 2 - 7
Which would be - 5

Give me brainliest if this helped
7 0
2 years ago
How many milliliters are in 30 liters? <br><br> 300<br> 3,000<br> 30,000<br> 300,000
Alborosie

Answer:

30000 Milliliters

Step-by-step explanation:

multiply the volume value by 1000

30 x 1000 = 30000

Brainliest if this was helpful. Thanks!

3 0
3 years ago
The floor of hexagonal barn has a perimeter 1260
MArishka [77]

Answer: 5040

Step-by-step explanation: There are 4 sides which is equal to 1260, 1260 x 4 = 5040

8 0
3 years ago
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