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MAT134Y5 Midterm: Solutions-Term4-2012-2013
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silvermouse444
20 Jan 2019
School
UTM
Department
Mathematics
Course
MAT134Y5
Professor
Shay Fuchs
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(1 point) Select the FIRST correct reason why the given series converges A. Convergent geometric series B. Convergent p series C. Integral test D. Comparison with a convergent p series E. Converges by limit comparison test F. Converges by alternating series test 3n + 5 n2 + In(n) 3 4 n(In(n))2 cos nT
(1 point) Select the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a geometric or p series D. Converges by alternating series test (-1)" ln(en) cos(nz) sin2(7n) cos(nn) 2(4)" NOTE: the version of the alternating series test provided in section 11.5 of Stewart is not general enough to solve this problem. You will need the following version: If the series (-1)n-1bn satisfies the conditions () there is an index N such that O
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(x+ 1 1. List the first three terms of each sequence. r +1 n+1 cos 2. Determine whether the sequence converges or diverges. 2n+3 es 3. Determine whether the following geometrie series converges or diverges 28 sir b. 4. Use the Divergence Test to determine if the series diverges. /n In n 5. Use the Integral Test to determine if the series converges or diverges. in +10 6. Determine if the p-series converges or diverges. b.