Variable base and exponent

Calculus Level 4

\[\large\lim _{ n\rightarrow \infty }{ \left[ { 4 }^{ \frac { 1 }{ n } }.{ \left( 1+\frac { 1 }{ { n }^{ 2 } } \right) }^{ \frac { 2 }{ { n }^{ 2 } } }.{ \left( 1+\frac { 4 }{ { n }^{ 2 } } \right) }^{ \frac { 4 }{ { n }^{ 2 } } }.{ \left( 1+\frac { 9 }{ { n }^{ 2 } } \right) }^{ \frac { 6 }{ { n }^{ 2 } } }....{ \left( 2+\frac { 1-2n }{ { n }^{ 2 } } \right) }^{ \frac { 2(n-1) }{ { n }^{ 2 } } } \right] } \]

Evaluate the limit above.

×

Problem Loading...

Note Loading...

Set Loading...