Ask question

Ask question

All categories

2 years ago

7

Use the formula for the sum of a geometric series to find the sum or state that the series diverges (enter div for a divergent s

eries). eˆ(5-2n)

1 answer:

Iteru [2.4K]2 years ago

5 0

This is a geometric series with first term e^3 and common ratio e^-2. The sum of it will be
.. e^3/(1 -e^-2) ≈ 23.229277815766...

You might be interested in

Parallelogram area help!!!

alexgriva [62]

Answer:

11

Step-by-step explanation:

a = d1+d2 all divided by 2

7+7+4+4/2

14+8/2

22/2

11

4 0

2 years ago

Lim x->pi/3 ((2cosx-1)/(tan^2x-3))

beks73 [17]

You can check that the limit comes in an undefined form:

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\dfrac{0}{0}$

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

$\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)$

and

$\dfrac{\text{d}}{\text{d}x}\tan^2(x)-3 = 2\dfrac{\tan(x)}{\cos^2(x)}=\dfrac{2\sin(x)}{\cos^3(x)}$

So, we have

$\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\lim_{x\to\frac{\pi}{3}} \dfrac{-2\sin(x)}{\frac{2\sin(x)}{\cos^3(x)}}=\lim_{x\to\frac{\pi}{3}}-\cos^3(x)=-\cos^3\left(\dfrac{\pi}{3}\right)$

6 0

2 years ago

The water was pumped out of a backyard pond. What is the domain of this graph?

Nata [24]

Answer:

The domain of this graph is

d. real numbers from 0 to 7

Step-by-step explanation:

from the graph you can see that all the possible x values are real numbers from 0 to 7

hope this helps!!

6 0

2 years ago

the slope of the line below is 2. use the labeled point to find a point-slope equation of the line. (1, 9)

hram777 [196]

Answer:

Step-by-step explanation:

y - 9 = 2(x - 1)

y - 9 = 2x - 2

y = 2x + 7

8 0

2 years ago

Which expression can you simplify by combining like terms?

pashok25 [27]

You can reduce the first one by combining the ab and the ba term

5 0

2 years ago

Read 2 more answers