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MATHEMATICS Convergent sequence

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Exercise 17: Find  .

Solution:
Since the highest power of variable n in the numerator is (  n5 ) greater than the highest power of variable n in the denominator ( n3 ), so we exclude the bracket in the numerator variable n5 ( the highest power of variable n appearing in the numerator ), and and the denominator variable  n3 ( highest power of variable n appearing in the denominator) we have

                  

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