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Example Questions
Example Question #101 : Comparing Relative Magnitudes Of Functions And Their Rates Of Change
Evaluate the limit:
Possible Answers:
The limit does not exist
Correct answer:
Explanation:
When evaluating the limit as x approaches infinity, we must compare the magnitude of the functions. The exponential function in the numerator grows faster than the polynomial function (and any polynomial, for that matter) in the denominator, so the numerator dominates and the limit equals .
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