Question:medium
Evaluate: $$ \lim_{n \to \infty} \frac{1}{n^{k+1}} \left[ 2^k + 4^k + 6^k + \dots + (2n)^k \right]. $$
Evaluate: $$ \lim_{n \to \infty} \frac{1}{n^{k+1}} \left[ 2^k + 4^k + 6^k + \dots + (2n)^k \right]. $$
Updated On: Nov 28, 2025
- \( \frac{2^k}{k} \)
- \( \frac{2^{k+1}}{k+1} \)
- \( \frac{2^k}{k+1} \)
- \( \frac{2^k}{k-1} \)
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