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A. Use the comparison test to determine the convergence or divergence of the series
4 + (1/5) + 0.3 + 1/ (3+√2) + 1/ (9+√3) + 1/ (27+√4) + 1/ (81+√5) +... , showing all work.
B. Use the nth term test to determine the convergence or divergence of the series, showing all work.
j=1Σ∞ j2 +1/j2
C. Use the integral test to determine the convergence or divergence of the series, showing all work.
k=1Σ∞1/(3k+1)
D. Use the alternating series test to show the convergence or divergence of the series, showing all work.
i=1Σ∞ (-1)i+1(i+3/i2+10)
E. Use the root test to determine the convergence or divergence of the series, showing all work.
n=1Σ∞100n/en
What is the largest domain over which this function is defined? For this domain, what is the corresponding range of the function?
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Finding the maximum speed using first derivative test - Find the speed will maximize the flow rate on the road?
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