L'Hospital's Rule
Exercises
Exercise 1
Determine the limit:

Exercise 2
Determine the limit:
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Exercise 3
Show that any polynomial grows faster than logarithmic growth. That is, show
![]()
where
is an arbitrary Nth-degree polynomial.
Exercise 4
Show that l'Hospital's Rule fails to solve the following limit:
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then solve for the limit algebraically.
Exercise 5
Find the following limit:
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