Use any convergence test to determine whether the series $\sum _ { k = 1 } ^ { \infty } \left( \frac { 1 + k } { 2 k + 1 } \right) ^ { k }$ converges or diverges.

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The Answer of Use any convergence test to determine whether the series $\sum _ { k = 1 } ^ { \infty } \left( \frac { 1 + k } { 2 k + 1 } \right) ^ { k }$ converges or diverges.

Use Any Convergence Test to Determine Whether the Series ∑k=1∞(1+k2k+1)k\sum _ { k = 1 } ^ { \infty } \left( \frac { 1 + k } { 2 k + 1 } \right) ^ { k }∑k=1∞​(2k+11+k​)k

Use Any Convergence Test to Determine Whether the Series $\sum _ { k = 1 } ^ { \infty } \left( \frac { 1 + k } { 2 k + 1 } \right) ^ { k }$