lect116_21rev_f11

lect116_21rev_f11 - Tuesday November 1 Lecture 21...

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Tuesday, November 1 Lecture 21: Indeterminate forms and l’Hôpital’s rule (Refers to Section 4.5 in your text) Students who have mastered the content of this lecture know about : L’Hôpital’s rule. Students who have practiced the techniques presented in this lecture will be able to : Recognize correctly the type of limit problems where l’Hôpital’s rule can be applied and then use l’Hôpital’s rule correctly on these limit problems, solve limits with indeterminate forms 0/0 , / , 0 , 1 , 0 ⋅∞ , 0 0 , ∞. 21.1 Definition Suppose we have two functions f ( x ) and g ( x ) such that Then we say the limit expression is of indeterminate form “0/0”. Suppose we have two functions f ( x ) and g ( x ) such that Then we say the limit expression is of indeterminate form / ”. In such cases there is a method we can use to compute the limit of these indeterminate forms. It is called l’Hôpital’s rule .

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lect116_21rev_f11 - Tuesday November 1 Lecture 21...

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