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1. Let f be a continuous function such that , then the infinite series converges.
(A)O
(B)X

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統計： A(1), B(0), C(0), D(0), E(0) #2348336

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2. Let f be a continuous function defined on interval[a,b]. If f (a) f (b) − f (a) − f (b) +1＜0 , then there exists a number c between a and b such that f(c) =1 . (A)O(B)X

3. If f is integrable on [a,b] , then there exists a number c ∈[a,b] such that .(A)O(B)X

4. If | f | is a Riemann integrable function on the interval [0, 1], then f is integrable on [0, 1]. (A)O(B)X

5. Let f be a function defined as follows: Then f ( x ) is differentiable at x = 0. (A)O(B)X

6. We already know that the series is convergent. Now, rewrite the series by combining 2n consecutively positive terms in the series, then followed by 2n consecutively negative terms, where n = 1, 2, 3, …, to get a new series as follows:+... , then the new series is still convergent. (A)O(B)X

7. If , then =1 . (A)O(B)X

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