L'Hospital's Rule

Exercises

Exercise 1

Determine the limit:

Solution

Exercise 2

Determine the limit:

Solution

Exercise 3

Show that any polynomial grows faster than logarithmic growth. That is, show

where  is an arbitrary Nth-degree polynomial.

Solution

Exercise 4

Show that l'Hospital's Rule fails to solve the following limit:

then solve for the limit algebraically.

Hint

Solution

Exercise 5

Find the following limit:

Solution