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Exercise 7: Calculate the limit  .
Solution:

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 Since the highest power of variable n in the numerator is (  n³ ) greater than the highest power of variable n in the denominator ( n² ), so we exclude from brackets a variable in the numerator n³ ( Highest power of variable n appearing in the numerator ), and the denominator variable n² ( Highest power of variable n appearing in the denominator ) We have

In accordance with theorm of  If  is a real number, then    we have

Therefore