所屬科目：研究所、轉學考(插大)-微積分
(a)
(b)
(C) ∫∫∫s(3y + yz) dxdydz where S is the region bounded by the cylinder y2 + z2 = 9 and the planes x = 0 and x + z = 3.
3. (15%) Find the interval of convergence of the series
(a) Use definition to show that f is continuous at x = 0.
(a) f(x) is continuous for x ≥ 0 and f(0) = 0.
(b) f'(x) exists for x > 0, and f' is monotonically increasing. Let g(x) be defined as for x > 0. Prove that g(x) is monotonically increasing.
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definition to show that f is continuous at x = 0.
for x > 0. Prove that g(x) is monotonically increasing.