MATH 211 Test 1 Sample

MATH 211 Test 1 Sample - n (x + 4) n (b) x n (c) (2x + 5)...

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MATH 211 Test 1 Sample Problems 1. Compute the limit or explain why it DNE. (a) = (b) = (c) = 2. Find the sum of the series or explain why it diverges. (a) (b) 3. Use geometric series to write each repeating decimal as a fraction of integers. (a) 10.433433433. ... (b) – 0.0012012012. ... 4. Determine whether the series converges or diverges. Be sure to give reasons for your answers. (a) (b) (c) 5. Find the center, a, and the radius of convergence, R. (a) n 2
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Unformatted text preview: n (x + 4) n (b) x n (c) (2x + 5) 2n (d) n 2 (x 3) n (e) 6. Find a power series for the function at the given center, and give its radius of convergence. (a) ln x = dx, a = 3 (b) , a = 0 (c) , a = 1 7. (a) Use the partial sum S 5 from the series in 6(a) to estimate ln 2. How good is the estimate? (b) Use the series in 6(a) to calculate ln x dx as a series. 8. Use Newton's Method to solve 1 x 3 = sin x accurate to three decimal places....
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