Solving Summation Questions: Limits, Derivatives & Simplification

[Zharkkaronn]

I am having trouble understanding how to find the limit of a summation. I know the formulas and properties but cannot seem to simplify them into a rational form becuase i have never been good at simplifying rational expressions and if there is an easier way to solve them.
I enjoy Summation math and i am wonder two things: 1) can one find the Derivative of a summation and how do you get ride of manipulate problems to get rid of the Summation symbol (if this makes sense).


Thank you.

 

[Lyuokdea]

Well, to differentiate a summation, you would just differentiate each term in the summation (think of the summation as a large sequence of + signs).

I'm not sure what you mean by the second part of the question, summation is just a way to avoid writing out large (sometimes infinite) quantities of numbers in order to manipulate expressions faster.

~Lyuokdea