#1. \( \sum\limits_{k=1}^{\infty} \frac{3}{k^{\frac{5}{2}}} \)

#2. \( \sum\limits_{k=-2}^{\infty}\frac{4}{k+4}+\frac{-4}{k+5}\)

#3. \( \sum\limits_{k=4}^{\infty} \frac{2^k}{ln(k)+2} \)

#4. \( \sum\limits_{k=-1}^{\infty} \frac{cos(k)}{5^k} \)

#5. \( \sum\limits_{k=-1}^{\infty} \frac{k}{4^k} \)

#6. \( \sum\limits_{k=3}^{\infty} \frac{1}{k^{\frac{3}{2}}} \)

#7. \( \sum\limits_{k=3}^{\infty} \frac{4}{k^{\frac{3}{4}}} \)

#8. \( \sum\limits_{k=2}^{\infty} \frac{cos(k)}{2^k} \)

#9. \( \sum\limits_{k=4}^{\infty} \frac{4^k}{ln(k)} \)

#10. \( \sum\limits_{k=0}^{\infty} \frac{5^k}{e^k} \)