Review for Exam #1 Solutions - Review for Exam 1 Fall 2013...

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Review for Exam 1Fall 2013 MTH 132-036/ MTH 152HProfessor: Mandi Schaeffer FryThis review will provide a good indication of whether you are ready for the exam, but it is by nomeans a complete list of the types of questions that will be found on the actual exam. There arequestions here that will not be on the exam, and will be questions on the exam that are not quitefound here.You should also go back through all homework, WeBWorK, quizzes, and examplesfrom class.1. What is the definition of continuity at an interior point? an endpoint? What is the definitionof the derivative? What are some interpretations of the derivative?2. Find the limits.Where appropriate, describe the limit (does it correspond to a hole?ahorizontal/vertical/oblique asymptote?)(b) limx0
(d) lim
x8x-7
1
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Chapter 13 / Exercise 40
Calculus: Early Transcendental Functions
Edwards/Larson
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This limit doesn’t correspond to a point of discontinuity.(e) limx9x-9x-3Solution:limx9x-9x-3= limx9(x-3)(x+ 3)x-3= limx9(x+ 3) = 6This limit represents a hole.(f)limx→-212x-83x+ 6Solution:This limit does not exist. It represents a vertical asymptote ofx=-2.(g)limx→∞12x-83x+ 6Solution:This limit is123, since the numerator and denominator have the same de-gree. It represents a horizontal asymptote ofy= 12/3.(h)limx→∞12x2-83x+ 6Solution:This limit is, since the degree of the top is larger than the bottom, andbecause for large positive values ofx, this number is positive. It represents an obliqueasymptote ofy= 4x-8, by using long division.(i)limx→∞123x+ 6Solution:This limit is 0, since the numerator has smaller degree than the denomi-nator. It represents a horizontal asymptotey= 0.

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Term
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STAFF
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Calculus: Early Transcendental Functions
The document you are viewing contains questions related to this textbook.
Chapter 13 / Exercise 40
Calculus: Early Transcendental Functions
Edwards/Larson
Expert Verified

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