8.2 relative rates of growth finney demana waits kennedy text
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Objectives:
•Comparing Rates of Growth•Using L’Hopital’s Rule to Compare Growth Rates
Why? Understanding growth rates as x->∞is an important feature in understanding the behavior of functions.
Conclusion: The functions grow at the same rate. The degree of the functions were the same. The constant had no affect on the comparison.
Conclusion: The exponential dominated the power function in the denominator. The numerator was growing faster than the denominator.
Conclusion: Exponentials grow faster than power functions. The two exponentials grow at the same rate even with different bases.
Conclusion: The two functions grow at the same rate. Both had a dominate power function of the same degree.
Conclusion: The two functions grow at the same rate even though the bases were different. The predominate function in both were logarithms.