0
votes
3answers
89 views

What is $\lim\limits_{x\to 0}x^2\cos(2/x)$?

I have to evaluate $$\lim_{x\to 0}x^2\cos(2/x)$$ using one or more of the limit laws. I am using the multiplication law and I am wondering if I am on the right track here? I have split it up to: ...
4
votes
2answers
267 views

Determination of inverse laplace transform using primitive functions

In How can you prove that a function has no closed form integral?, the accepted answer points to http://www.sci.ccny.cuny.edu/~ksda/PostedPapers/liouv06.pdf where one can find a corollary by Liouville ...
80
votes
6answers
6k views

How can you prove that a function has no closed form integral?

I've come across statements in the past along the lines of "function $f(x)$ has no closed form integral", which I assume means that there is no combination of the operations: addition/subtraction ...