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I have a question. Suppose f : [ 0, l) [itex]\rightarrow[/itex] ℝ is concave , increasing and continuous where l < ∞ and g : [ 0, l) [itex]\rightarrow[/itex] ℝ is also concave, nondecreasing and continous on the same interval. Can we claim that f and g intersect finitely many times in this interval (possibly 0) ? What if number l replaces with infinity?

Thanx in advance, H.