Nesting the Limits

Calculus Level 2

Evaluate:

\(\left\lfloor \lim _{ x\rightarrow \infty }{ { \left( 1+\frac { 1 }{ { \left( \lim _{ x\rightarrow \infty }{ { \left( 1+\frac { 1 }{ x } \right) }^{ x } } \right) }^{ x } } \right) }^{ { \left( \lim _{ x\rightarrow \infty }{ { \left( 1+\frac { 1 }{ x } \right) }^{ x } } \right) }^{ x } } } \right\rfloor \)