Hey everybody, thanks for reading.

I started studying cardinal numbers not long ago, and very lately arithmetics of cardinal numbers.

I'm used to finding cardinal numbers using bijections, not with arithmetics, because I don't quite know how to use it.

The thing is, the excersices got really tricky and I don't seem to be able to find appropriate bijections.

So I'd appreciate help of any kind!

Here are the questions:

1) here's a set: A = {p(pi)/q(pi) |p(x),q(x) are in Q[x])}. In words: elements in A are all the ratios between two rational polynomials, in which instead of "x"you write "pi" (the irrational famous number!)

This is actually the minimal field that contains pi and Q'...

I need to find it's cardinal number.

2) here's a set: A = {all the converging sequences in R}.

Again, I need to find it's cardinality.

I really tried to solve these for hours...

I won't write "my attempt" just because I have no idea how to write alef here, and stuff, and it'll take forever (although it's my native tounge, hebrew, lol)...

So I really really appreciate it.

Thanks,

Tomer.