- #1

twoflower

- 368

- 0

my task is:

Analyse continuity of

**f**and

**f'**on their domain, if

[tex]

f(x) = \sum_{n=1}^{\infty} \arcsin x^{n}

[/tex]

No idea how to do that comes to my mind, I assume it will have something to do with uniform convergence but can't see any proper theorem, maybe More-Osgood, but it is rather confusing for me.

Would somebody help please?