We can use the fact that, for 
,
Notice that
![\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cdfrac1%7B1-x%7D%5Cright%5D%3D%5Cdfrac1%7B%281-x%29%5E2%7D)
so that
![f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdisplaystyle%5Cfrac5%7B%281-x%29%5E2%7D%3D5%5Cfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Csum_%7Bn%3D0%7D%5E%5Cinfty%20x%5En%5Cright%5D)
By the ratio test, this series converges if
so the series has radius of convergence 
.
Answer:
62
Step-by-step explanation:
IM NOT SURE I THINK BUT hope this helps :)
Answer:
Each song costs $2 and each album costs $10.
Step-by-step explanation:
Since a website allows users to download individual songs or whole albums, and all songs cost the same price to download and all albums cost the same price to download, and Karim pays $ 30 to download 5 songs and 2 albums while Kimberlyn pays $ 26 for download 3 songs and 2 albums, to determine what is the cost to download 1 song and the cost to download 1 album, the following calculations must be made:
5X + 2Y = 30
3X + 2Y = 26
(30 - 26) / (5 - 3) = X
4/2 = X
2 = X
Therefore, each song has a cost of $ 2.
Thus, to know the cost of each album (knowing that both downloaded the same amount, that is, 2), the following calculation must be performed:
5x2 + 2Y = 30
10 + 2Y = 30
2Y = 30 - 10
2Y = 20
Y = 20/2
Y = 10
Therefore, each album has a cost of $ 10.
Answer:
D
Step-by-step explanation:
I’m not sure but none of the others made sense
