When lHospital introduced indeterminate limits in his textbook, his example was lim xa _

Chapter 5, Problem 66

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When lHospital introduced indeterminate limits in his textbook, his example was lim xa _ 2a3x x4 a 3 a2x a 4 ax3 where a is a positive constant. (This example was communicated to him by Bernoulli.) Show that this limit is equal to (16/9)a.

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