Calculating the Limit Using Riemann Sum with Starred Part?

[devinaxxx]

Homework Statement

http://i66.tinypic.com/aesd1u.png

can someone explain to me how can i get the limit using riemann sum especially the starred part? i was so confused thanks!

Homework Equations

The Attempt at a Solution

attempt at a solution in the picture

 

[fresh_42]

I don't see a picture and I don't think this provider is appropriate. You could either load up your image instead, or far, far better, type in your problem, preferably using LaTex:
https://www.physicsforums.com/help/latexhelp/

 

[BvU]

Hello devina,

As you may know, PF keeps threads for years. You sure this tinypic link is sustainable ?

Any substantial difference between $\log$ and $\ln$ ? If not, then why not stick to one of the two ?

The stars are dazzling in front of my eyes. But even before the first two I lose track. What is at the left hand side of the first $=$ sign ? Surely not the limit and also not the expression. Nor the logarithm of the expression, if I read carefully. Help !

 

[BvU]

Homework Statement

Shouldn't it be something like
Calculate the limit $$\lim_{n\rightarrow\infty} {1\over n} \left ( (2n)!\over n! \right)^{1\over n} $$ using a Riemann sum ?
This because I have seldom seen an excercise saying ' calculate this sum of limit '

Homework Equations

Something like $\int = \lim \sum ...$ ??

The Attempt at a Solution

Here you describe how you work out the (logarithm of the) expression to somethng that you can integrate

Work carefully and check each small step -- also check if what you wrote is what you meant to write

I suppose that in your case you want to follow a worked out example in the book, but even there the same rules apply.
That's why I remarked sourly that what's on the second line (after the first = sign) is not what is at the end of the first line.