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Q.
- Identify highest power: Identify the highest power of in the numerator and denominator.In the numerator, it's . In the denominator, it's .
- Neglect terms with : Since grows much faster than any power of , the terms with in the denominator become negligible as approaches infinity.So, we can ignore the term in the denominator.
- Compare coefficients: Now, we look at the coefficients of the highest powers. The limit becomes the coefficient of in the numerator divided by the coefficient of in the denominator as approaches infinity.
- Calculate the limit: The coefficient of is , and the coefficient of is . So, the limit is .
