Question 1. Limits of functions. [12 points - parts (a) and (b) are each worth 2 points, part (c) is worth 8 points] Let f be a function and a, l E R. (a) Define what it means for 1 to be the limit of f at the point a. (b) Write down carefully the negation of the previous statement, i.e., what does it mean for I to not be the limit of f at the point a?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 82E
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could you explain in detail question.1 (a) and (b)?

Question 1. Limits of functions. [12 points - parts (a) and (b) are each worth 2 points,
part (c) is worth 8 points]
Let f be a function and a, l ER.
(a) Define what it means for 1 to be the limit of f at the point a.
(b) Write down carefully the negation of the previous statement, i.e., what does it mean
for 1 to not be the limit of f at the point a?
Transcribed Image Text:Question 1. Limits of functions. [12 points - parts (a) and (b) are each worth 2 points, part (c) is worth 8 points] Let f be a function and a, l ER. (a) Define what it means for 1 to be the limit of f at the point a. (b) Write down carefully the negation of the previous statement, i.e., what does it mean for 1 to not be the limit of f at the point a?
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