Suppose that (sn) and (tn) are convergent sequences with
lim sn =s and lim tn =t. Then lim (sntn)= st. Prove this without using the identity sntn-st= (sn-s)(tn-t) +s(tn-t)+t(sn-s).
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Suppose that (sn) and (tn) are convergent sequences with
lim sn =s and lim tn =t. Then lim (sntn)= st. Prove this without using the identity sntn-st= (sn-s)(tn-t) +s(tn-t)+t(sn-s).
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