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Question:
Sequences (True or False)
1) The convergent sequences {an} and {bn} differ in their first 100 terms, but an=bn for n>100. It follows that the lim as x->infinity an = lim as x->infinity bn.
2) If {an} = {1,1/2,1/3,1/4,1/5....} and {bn} = {1,0,1/2,0,1/3,0,1/4,0....} then the lim as x->infinity an = lim as x->infinity bn.