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Could someone please check my work Suppose ( S,) is a convergent sequence with lim SA = S. Prove lim ( K. Sn)- Ks and

Could someone please check my work

Suppose ( S,) is a convergent sequence with lim SA = S. Prove lim ( K. Sn)- Ks and lim ( K+ 5. )= K+ s, for any KERR and KEIR - by definition of convergence Given any ESO, Shre Sn -5, There exists IN EIN such That nzN implies That JK. Sn - KS) O. when KO and / Sn-s/

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