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HW 10 -- 11.5 - 11.6: Problem 4
oint)
se the Alternating Series Test to determine whether the series converges or diverges. (For limits, enter a number
-infnity", "infinity", or "DNE" as appropriate.)
$\sum_{n=1}^{\infty} (-1)^{n-1} \frac{2n^2 + 7}{\sqrt{49n^4 + 5}}$
$\lim_{n \to \infty} b_n =$
$\text{A. } \{b_n\} \text{ is ultimately decreasing because the function } f \text{ satifying } f(n) = b_n \text{ is decreasing on the interval}$
Therefore the series converges by the Alternating Series test.
$\text{B. } \lim_{n \to \infty} a_n =$
, so the series diverges by the Divergence Test.
Note: In order to get credit for this problem all answers must be correct.
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