What is the limit of this sequence?
$$ \left(\frac{3-4n}{1+n}\right)\left(1+\frac1n\right)^n % latex for image
at http://i.stack.imgur.com/ZSgs0.jpg $$ I am aware that if one sequence
converges and another sequence converges then the multiplication of two
sequences also converge. The limit of the first sequence is $-4$. However
I do not know how to calculate the limit of the second sequence.
Any help is kindly appreciated.
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