This exercise is used in Section *14.2. Suppose that a < b and that f : [a, b] → R is bounded.
a) Prove that if f is continuous at x0 ∈ [a, b] and f (x0) ≠ 0, then
b) Show that if f is continuous on [a, b], then if and only if f (x) = 0 for all x ∈ [a, b].
c) Does part b) hold if the absolute values are removed? If it does, prove it. If it does not, provide a counterexample.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.