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Find limits of sequences I part b


Solution:

(a) Converges. Limits is 0.

(b) Converges. Limits is $3/4$. See Example 2,
$$
\frac{3n+1}{4n-1}=\frac{3+\frac{1}{n}}{4-\frac{1}{n}}.
$$

(c) Converges. Limits is 0.

(d) Diverges. (Indeed, it is periodic.)


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