Problem 1130 (difficulty: 4/10)

True or false?

(a) A uniform limit of monotonic functions is monotonic?

(b) A uniform limit of strictly monotonic functions is strictly monotonic?

(c) A uniform limit of bounded functions is bounded?

(d) A uniform limit of continuous functions is continuous?

(e) A uniform limit of Lipschitz functions is Lipschitz?

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government