This is a question from a Chaos theory and Modelling Course:

# Use Sharkousky's Theorem to prove that if f: [a, b] [a, b] is a continuous function and lim f(x) exists for every xe [a, b], then f can have no points of period not # Use Sharkousky's Theorem to prove that if f: [a, b] [a, b] is a continuous function and lim f(x) exists for every xe [a, b], then f can have no points of period not