Wednesday, 27 March 2013

limits - limnrightarrowinftyleft(1+frac1nright)n=?

We know that lim However the result of \lim _{ n\rightarrow \infty }{ { \left( -1+\frac { 1 }{ n } \right) }^{ n } } is shown in complex form by Wolframalpha . Why complex numbers?




Yes, -1+\frac { 1 }{ n } < 0 , but if we write the values from n=1,2..,10 , all values will be real. Any opinion? How do you calculate this limit?

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