Let (x) = 1 if x is rational and f (x) = 0 if x is irrational.

Question:

Let ƒ(x) = 1 if x is rational and f (x) = 0 if x is irrational. Prove that lim lim f(x) XC does not exist for any c. There exist rational and irrational numbers arbitrarily close to any c.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

Question Posted: