Define the sequences yn = e^n [ ln(1)−ln(t+2) ] and qn = (yn)2.
If yn converges to l, where does qn converge to? Write your answer in terms of l.
2. Define a subsequence an by choosing every second element of yn (i.e. ak = y2K). Write down the first 4 elements of an. Where does this subsequence converge to if yn converges to l? Write your answer in terms of l.