Question
Limits of sequences Find the limit of the following sequences or determine that the sequence diverges.$$\left\{\frac{k}{\sqrt{9 k^{2}+1}}\right\}$$
Step 1
We can do this by factoring out $k^2$ from the denominator. This gives us: $$\left\{\frac{k}{\sqrt{k^2(9 + \frac{1}{k^2})}}\right\}$$ Show more…
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