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[SOLVED] Limit n[1 - exp(ia/n)]
Homework Statement
What is the limit of n[1 - exp(ia/n)] as n goes to infinity (a is fixed real number).
The attempt at a solution
n[1 - exp(ia/n)] = n / [1 - exp(ia/n)]-1 and by using l'Hosptal's rule, I get that the limit diverges. Now how can I do this without relying on l'Hospital's rule?
Homework Statement
What is the limit of n[1 - exp(ia/n)] as n goes to infinity (a is fixed real number).
The attempt at a solution
n[1 - exp(ia/n)] = n / [1 - exp(ia/n)]-1 and by using l'Hosptal's rule, I get that the limit diverges. Now how can I do this without relying on l'Hospital's rule?