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題組內容

5. Test the series for convergence or divergence using any appropriate test. Identify the test used and explain your reasoning.

(a)

其他申論題

1. Let If the function f is continuous on the entire real line. Then a =_________.

2. Let Then fxy(0,0) = f(x, y) = and fyx(0,0) =__________.

3. Let f(x) = .Then the interval of convergence of f(x) is________. and the interval OF convergence of f'(x) is________.

4. Let R be the region inside the ellipsoid where a,b,c> 0, and abovethe plane z = b-y, then the volume of the region R is =______.

6. Find the absolute maximum and minimum values of f(x,y,z) = 2x-2y + zsubject to the constraint x2+ y2 + z2 =1.

(b) dx. Hint: for a ＞ 0,a ≠ 1.

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