True,
4a - 3b
4(6) - 3(1)
24 - 3 = 21
Answer:
Image A shows a rotation.
Answer:
a.Converge
b.Diverge
Step-by-step explanation:
We are given that
![A_n=\frac{6n}{-4n+9}](https://tex.z-dn.net/?f=A_n%3D%5Cfrac%7B6n%7D%7B-4n%2B9%7D)
![\lim_{n\rightarrow \infty}A_n=\lim_{n\rightarrow \infty}\frac{6n}{-4n+9}=\frac{6n}{n(-4+\frac{9}{n})}](https://tex.z-dn.net/?f=%5Clim_%7Bn%5Crightarrow%20%5Cinfty%7DA_n%3D%5Clim_%7Bn%5Crightarrow%20%5Cinfty%7D%5Cfrac%7B6n%7D%7B-4n%2B9%7D%3D%5Cfrac%7B6n%7D%7Bn%28-4%2B%5Cfrac%7B9%7D%7Bn%7D%29%7D)
![\lim_{n\rightarrow \infty}\frac{6}{-4+\frac{9}{n}}=\frac{6}{-4}=\frac{-3}{2}](https://tex.z-dn.net/?f=%5Clim_%7Bn%5Crightarrow%20%5Cinfty%7D%5Cfrac%7B6%7D%7B-4%2B%5Cfrac%7B9%7D%7Bn%7D%7D%3D%5Cfrac%7B6%7D%7B-4%7D%3D%5Cfrac%7B-3%7D%7B2%7D)
Because ![\frac{9}{\infty}=0](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B%5Cinfty%7D%3D0)
Hence, sequence An converges to
when n tends to infinity or - infinity.
=diverges
Necessary condition for a series to converge :
when n tends to infinity .
But
tends to
when n tends to infinity.
Therefore, given series is divergent.
Answer:YES
Step-by-step explanation:
YES