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Session 89: L'Hospital's Rule and Rates of Growth

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Overview

If f(x)/g(x) approaches zero as x goes to infinity we know that for large x, g(x) is much larger than f(x). In this session we use L'Hopital's rule to compare rates of growth of exponential, logarithmic and polynomial functions.

Lecture Video and Notes

Video Excerpts

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» Clip 1: Rate of Growth of x ln(x) (4 min)
» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006


» Clip 2: Rate of Growth of epx (5 min)
» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006


» Clip 3: Comparing Growth of ln(x) and x1/3 (5 min)
» Accompanying Notes (PDF)

From Lecture 35 of 18.01 Single Variable Calculus, Fall 2006

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