3. (Review) Evaluate int x^2e^-xdx. (Hint: Integration by part twice.) Use the M

Question

3. (Review) Evaluate int x^2e^-xdx. (Hint: Integration by part twice.) Use the Monotone Convergence Theorem for the next four questions and choose all answers that apply. There may be more than one correct choice for each question. 4. Consider the sequence an = 1/2n+3. Then an is: a. increasing b. decreasing C. not monotonic d. bounded e. None of the above 5. Consider the sequence an = 2n-3/3n+4. Then an is: a.. increasing b. decreasing c. not monotonic d. bounded e . N one of t he above 6. Consider the sequence an = cos(npi/2). Then an is: a. increasing b. decreasing c. not monotonic d. bounded e. None of the above 7. Consider the sequence an = n + 1/n. Then an is: a. increasing b. decreasing c. not monotonic d. bounded e. None of the above 8. Determine the sum of the series 2 +1/2 + 1/8 + 1/32 +... a.15/7 b.8/3 c.7/3 d.13/6 e. None of the above

Explanation / Answer

C,B,B,D,A,B

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