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4.=(E) for x＞ 0.

其他申論題

b. Show that if an converges,then converges. (6 points)

1.The upper sum = __(A)__. and the lower sum = __(B)__ if f(x) := |x|,x ∈ [-2,1] and P is the partition of [-2,1].

5.The radius of convergence of the power series =__(F)__

6.The Maclaurin serics for sin(x + 1) =__(G)__

(a) If f(x) :=x3 - 2x + 2, x ∈ , then f has a zero between -2 and 0.

(b) Consider two series. Suppose ≥ 0 and . If converges, then converges.

(c) If f : (-1,1) → is continuous at x = 0, then f is differentiable at x = 0.

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