Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Analysis Continuity & Differentiability
Which of the following statement is NOT true?
1
If f is uniformly continuous on [a, b] and [b, c] then f is uniformly continuous on [a, c].
2
Composition of two uniformly continuous function is uniformly continuous.
3
Product of two uniformly continuous need not be uniformly continuous.
4
f(x) = sin(sin x) is not uniformly continuous on [0, ∞].