Test the Following Series for Convergence or Divergence $\frac { 1 } { \ln 2 } - \frac { 1 } { \ln 3 } + \frac { 1 } { \ln 4 } - \frac { 1 } { \ln 5 } + \frac { 1 } { \ln 6 } - \cdots$

Short Answer

Test the following series for convergence or divergence: $\frac { 1 } { \ln 2 } - \frac { 1 } { \ln 3 } + \frac { 1 } { \ln 4 } - \frac { 1 } { \ln 5 } + \frac { 1 } { \ln 6 } - \cdots$ .