Question: 4. Let (an). ., and (bn)., be sequences, and A, B R such that (a,) ., converges to A and (b,)., converges to B. Let

4. Let (an). ., and (bn)., be sequences, and A, B R such that (a,) ., converges to A and (b,)., converges to B. Let (c,)_, = (a1,b1,a2,bs,...) be the sequence such that { a(ny1)2 (for nodd) B by, /2 (for n even) that A=C and B="C. . Suppose that (e,),_, converges to a real number C. Show 1

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