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
.
Circumference of a circle = 2 x pi x radius
C = 2 x pi x 3
C = 6 x pi
C = 18.84
(using 3.14 for pi)
Answer: Decimal Form: 4.47213595
…
Triangles with any side lengths can have the same angle measures. for example, let’s say your triangle angle measures are 37°, 53°, and 90°. Your side lengths could be 3,4,and 5. It could also have other side lengths as long as all the sides of the same ratio. You could double every side (6,8,10) or triple every side (9,12,15) and so on.
Answer: Have different side lengths/ change side lengths
Answer:
sin m∠B = square root of 5 over 5
Step-by-step explanation:
You are right B is the answer