# Answer to Question #15449 in Calculus for ran

Question #15449

1.Any continuous function from the open unit interval (0,1) to itself has a fixed point.

2.logx is uniformly continuous on (1/2,+∞) .

3.If A,B are closed subsets of [0,∞) , then A+B={x+y|x∈A,y∈B} is closed in [0,∞)

4.A bounded continuous function on R is uniformly continuous.

5.Suppose f n (x) is a sequence of continuous functions on the closed interval [0,1] converging to 0 pointwise. Then the integral ∫ 1 0 f n (x)dx converges to 0

2.logx is uniformly continuous on (1/2,+∞) .

3.If A,B are closed subsets of [0,∞) , then A+B={x+y|x∈A,y∈B} is closed in [0,∞)

4.A bounded continuous function on R is uniformly continuous.

5.Suppose f n (x) is a sequence of continuous functions on the closed interval [0,1] converging to 0 pointwise. Then the integral ∫ 1 0 f n (x)dx converges to 0

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## Comments

ran28.09.12, 03:56which of the statements are true and which are false

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