- #1

crememars

- 15

- 2

- Homework Statement
- Consider the following limit of a Riemann sum for a function f on [a, b]. Identify f, a, and b,

and express the limit as a definite integral.

*see actual expression in the description below. it was too complicated to type out so I included a picture instead.

- Relevant Equations
- ∆x = (b-a)/n

xiR = a + i∆x

Hi! I am having trouble finalizing this problem.

The interval is given so we know that a = 1 and b = 2. From there you can figure out that ∆x = 1/n, xiR = 1 + i/n.

Using logarithmic properties, I rearranged the expression and wrote

**(1 + i/n)(1/n)ln[(n + i)/n]**.

I can guess that the function is going to look something like this:

**f(x) = xln(...)**but I don't know what goes in the logarithmic function...

I have been trying to rewrite it in terms of xiR but no luck :(

any help would be really appreciated. thank you !