Greatest integer function Find (a) lim, 400 [x] and (b) lim,--40- [x ]; then use limit definitions to verify your findings. (c) Based on your conclusions in parts (a) and (b), can you say anything about lim, 40 [x ]? Give reasons for your answer.

Greatest integer function Find (a) lim, 400 [x] and (b) lim,--40- [x ]; then use limit definitions to verify your findings. (c) Based on your conclusions in parts (a) and (b), can you say anything about lim, 40 [x ]? Give reasons for your answer.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.FR1: A Further Look: Limits

Problem 1E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Use the definitions of right-hand and left-hand limits to prove the
limit statements in Exercise

Greatest integer function Find (a) lim, 400 [x] and (b)
lim,--40- [x ]; then use limit definitions to verify your findings.
(c) Based on your conclusions in parts (a) and (b), can you say
anything about lim, 40 [x ]? Give reasons for your answer.

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