irrational - If r is rational and x is irrational, how would I prove that r+x and rx are irrational?
Rational/irrational - Tell me whether pi is a rational or irrational number? why?
What about non-terminating repeating decimals such as (9.252525 or 3.191919)? Are these rational or irrational?
Differentiability and Rational and Irrational Functions - Please see the attached file for the fully formatted problems.
4. Let g: R -> R be a function such that for x rational, and for x
irrational. Is there any f: R->R such that f'(x) = g'(x)? P ...
Real Analysis - Please see the attached file for the fully formatted problems.
Suppose that is not a perfect nth power, i.e K is not equal to
(a) Prove that is not a member of Q, the set of all rational num ...