Question

what is the central limit theorem

Answer 1

the central limit theorem states that, given certain conditions, the arithmetic mean of a sufficiently large number of iterates of independent random variables, each with a well-defined expected value and well-defined variance, will be approximately normally distributed.

Answer 2

that the mean of samples is a normal distribution .... something along those lines i believe

Answer 3

Ooh, I just started learning limits in class. It is a very interesting topic.
I came up with a good solution without L'H'S, in

\(\normalsize\color{blue}{\Large\lim_{x \rightarrow 0} \frac{\cos(2x)-\cos(x)}{x^2} \LARGE\color{white}{ \rm │ }}\)

Answer 4

Using the theorem of a `limit→0, Sin(x)/x =1` twice

Answer 5

It is a good topic :) You will have lots of fun, just like what I am having right now in school. Good luck !