Proof of Limit Algebra: k + a_[n] → k + lim(a_[n])

[mitch_nufc]

Let a_[n] be a sequence tending to a and let k be a real number. Give an epsilon - N proof that lim (k + a_[n]) = k + lim(a_[n]) the the limits are both as n-> infinity

I'd really appreciate some help here people. Thanks

 

[quantumdude]

Please show how you started and where you got stuck. Thanks.