Quiz (L'Hospitals Rule)

Use L'Hospital's rule to solve the following problems. Show all work and justify each step.

(1) Use L'Hospital's rule to find constant l hospital rule quiz _gr_1.gif] and l hospital rule quiz _gr_2.gif] so that

l hospital rule quiz _gr_3.gif]

(2) Use L'Hospital's rule to find all values of l hospital rule quiz _gr_4.gif] and l hospital rule quiz _gr_5.gif] so that

l hospital rule quiz _gr_6.gif]

(3) Use L'Hospital's rule to find the values of l hospital rule quiz _gr_7.gif] so that

l hospital rule quiz _gr_8.gif]

(4) For a certain value of l hospital rule quiz _gr_9.gif] the limit l hospital rule quiz _gr_10.gif] is finite and zero. Use L'Hospital's rule to find l hospital rule quiz _gr_11.gif] and then compute the limit.

(5) Use L'Hospital's rule to evaluate the limit  

l hospital rule quiz _gr_12.gif]

(6) Use L'Hospital's rule to determine which values of constants l hospital rule quiz _gr_13.gif] and l hospital rule quiz _gr_14.gif] is it true that

l hospital rule quiz _gr_15.gif]

Cite this as:
L Hospital Rule Quiz
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/l-hospital-rule-quiz.html
 
    
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