7. Correct
- - -
9. By the ratio test, the series will converge if

The limit reduces to

where

because

is given. So the series converges when

This means the radius of convergence is

.
- - -
10. By the ratio test, the series converges if

The limit is

and so the radius of convergence is 1.
- - -
11. Incorrect. By the root test, the series converges for
![\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\frac{(x-2)^n}{n^n}\right|}=\lim_{n\to\infty}\frac{|x-2|}n=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bn%5Cto%5Cinfty%7D%5Csqrt%5Bn%5D%7B%5Cleft%7C%5Cfrac%7B%28x-2%29%5En%7D%7Bn%5En%7D%5Cright%7C%7D%3D%5Clim_%7Bn%5Cto%5Cinfty%7D%5Cfrac%7B%7Cx-2%7C%7Dn%3D0%3C1)
which means the series converges for all

, and so the interval of convergence is

.
- - -
For 14 and 16, it'll probably be too late to edit this post by the time you see this. You can try posting the remaining problems in a new question.
Answer:
=2 7/12 is needed on sunday
Step-by-step explanation:
Friday + Saturday + Sunday = total time studying
1 1/4 + 2 2/3 + sunday = 6 1/2
Get a common denominator of 12
1/4*3/3 =3/12
2/3 *4/4 =8/12
1/2 *6/6=6/12
1 3/12 + 2 8/12 + sunday = 6 6/12
Combine terms
3 11/12 + sunday = 6 6/12
Subtract 3 11/12 from each side
3 11/12 - 3 11/12 + sunday = 6 6/12 - 3 11/12
sunday = 6 6/12 - 3 11/12
Borrow 1 from 6 in the form of 12/12
sunday = 5 + 12/12+ 6/12 - 3 11/12
= 5 18/12 - 3 11/12
=2 7/12
Answer:
find 80 percent
Step-by-step explanation:
Answer:
Molly's basil plant is now 17 centimeters
Step-by-step explanation:
90 millimeters=9 centimeters
20cm-12cm=8cm
9cm+8cm=17cm
hope this helped :)