?

What does it mean converges and diverges? (Sequences)

For example:

{n/(n+1)}[n=0, +inf]

limn->in~n/n=1 I think it means that the sequence goes to 1 ( the last term of the sequence is 1?) { 1/2, 2/3, 3/4, 4/5, ......1} am I right? what does 1 means?

OK I have OCD ( That's why I use it) . Around a month ago, I have using Lysol Vanilla & Blossoms scent frequently. I heard Lysol kills brain cells. I would say I'm pretty intelligent. I'm just 18 years old . I have too much of a life ahead of me to become stupid. I pride myself in being smart, and I don't want to become an idiot because I inhale damn Lysol. Some times, I feel like running in my noise. I feel something weird in my head like if someone is touching my head. I'm really scared that Lysol is killing some neurons. Please I need help like a whole explanation. I'm so scared :*(

My question is why do we have to solve for ∫f(x)g'(x)dx?

Ok

d/dx[f(x)g(x)]=f'(x)g(x)+f(x)g'(x)

∫[d/dx[f(x)g(x)]]=∫[f'(x)g(x)]+∫[f(x)g'(x)]

f(x)g(x)= ∫[f'(x)g(x)]+∫[f(x)g'(x)] here is my question why do we have to solve for ∫[f(x)g'(x)] instead ∫[f'(x)g(x)]. is it the same thing?

I need help on 2 calculus questions, Volume of A Solid of Revolution?

1. Can you explain the difference between cylindrical shells method and disk method?

I understand that volume is how much an object can hold. Using this idea we apply it on the disk method, πr^2h is the formula for cylinder where r is going to change, so r will be dx then we will integrate it to make r infinity small. But, when we are talking about Shell method (2πrh) is the (surface area)? because we are calculating the outside not the inside . Shouldn't be calculate the surface area instead of volume? if I am correct why do we call it volume?

2. Can you explain the difference between cylindrical shells method rotating about x and y and disk method rotating about x and y?

If it is possible, can you give some links to good videos explaining this?

Thanks

1. Can you explain the difference between cylindrical shells method and disk method?

I understand that volume is how much an object can hold. Using this idea we apply it to the disk method, πr^2h is the formula for cylinder where h is going to change, so h will be dx then we will integrate it to make h infinity small. But, when we are talking about Shell method 2πrh is the (surface area)? because we are calculating the outside not the inside . Shouldn't be calculate the surface area instead of volume?

2. Can you explain the difference between cylindrical shells method rotating about to x and y and disk method rotating about to x and y?

If it is possible, can you give some links to good videos explaining this?

Thanks

Determine where the function is continuous

1)

.........2x+3,..x≤4

f(x)={..7+16/x,..x>4

2)

.........3/(x-1),..x not = 1

f(x)={..3,..x=1

I'm study for a placement test, and I got this answer wrong. Can you explain me why?

log[b]((y^(2))/(xz^(5)))

log[b](y^(2)-log[b](xz^(5))

2log[b](y)-log[b](x)+log[b]z^(5)

2log[b](y)-log[b](x)+5log[b]z. This is my answer.

Any work, web pages. Anything that lets me improve myself on it. Thanks.

I am 16 years old, I don't have a lot of experience. I designed a website for a company and I wrote some code. So, can you give your point of view. www.ecocafeonline.com

Here are the questions. They are about color blind ( Genetics)

http://www.columbia.edu/~mvh7/STEP/Regents%20Bio/G...

I really do not understand it.

http://www.columbia.edu/~mvh7/STEP/Regents%20Bio/G...

I really do not understand it.

Explain the term cold war which countries were involved and how long did it last?

explain the term cold war which countries were involved and how long did it last?

Summarize the Reforms Mao Zedong for china.

Aspect of life......................Reform

Agriculture.........................

Industry.............................

Family...............................

Who is given credit for discovering the shape of DNA?

I think Rosalind Franklin

1. Draw and label a flat section of dna including at least four base pairs

2. Draw and label the four nucleotides

3. Explain why certain bases only pair to each other?

1. Draw and label a flat section of dna including at least four base pairs

2. Draw and label the four nucleotides

3. Explain why certain bases only pair to each other?