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Quiz 2 for math 1261: calculus i, which was administered during the spring 2004 semester. The quiz covers various limit and function value problems related to calculus. Students are required to show all work neatly and clearly, and circle or box-in answers for questions that are not fill-in-the-blanks. The quiz consists of 15 points, and includes questions about finding limits or function values, identifying asymptotes, and performing algebraic manipulations. Preparation for the quiz may include reviewing limit laws, understanding function behavior around critical points, and practicing similar problems.
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Math 1261, Calculus I Name: Quiz 2, Spring 2004
Show all work neatly, clearly, and carefully. There are a total of 15 points on this quiz. Circle or box-in your answers to the questions that are not fill in the blanks.
(a) f (3) =
(b) lim x→− 2 −^
f (x) =
(c) lim x→− 2 +^
f (x) =
(d) (^) xlim→− 2 f (x) =
(e) lim x→ 3 f (x) =
f (x) = L means that f (x) gets near to when x approaches c from the. (1.5 pt)
f (x) = ∞, then the line is a asymptote of the graph of y = f (x). (1.5 pt)
lim x→ 3 −
(x − 3)^2
Justify your answer. (2 pts)
xlim→ 2
xf (x) + g(x) 1212004
Show all steps. In addition, justify each step by stating the appropriate limit law. Circle or box-in your final answer. (2 points)
