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# Test if the given series converges or diverges

Determine if the following series converges or diverges and justify your decision. This series converges. First, we make the comparison, Then, for this series we use the ratio test, denoting the terms by we have, Hence, the series converges; therefore, converges as well.

# Test the given series for convergence or divergence

Determine if the following series converges or diverges and justify your decision. The series converges by the ratio test since Hence, the series converges.

# Test the given series for convergence or divergence

Determine if the following series converges or diverges and justify your decision. The series diverges by the ratio test since Hence, the series diverges.

# Test the given series for convergence or divergence

Determine if the following series converges or diverges and justify your decision. The series diverges by the ratio test since Hence, the series diverges.

# Test the given series for convergence or divergence

Determine if the following series converges or diverges and justify your decision. This series diverges by the ratio test since Hence, the series diverges.

# Test the given series for convergence or divergence

Determine if the following series converges or diverges and justify your decision. The series converges by the ratio test since Hence, the series converges.

# Test the given series for convergence or divergence

Determine if the following series converges or diverges and justify your decision. The series converges by the ratio test since Hence, the series converges.

# Test the given series for convergence or divergence

Determine if the following series converges or diverges and justify your decision. The series converges by the ratio test since Hence, the series converges.