(a) Suppose that a function f(x) is defined for all z in [-1, 1]. Can anything be said about the existence of lim f(x)? Give reasons for your answer. (b) Find the limit of the function 21 + 7 f(x) = 13 – x² + x + 7 as r + 00 and r + -0.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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(a) Suppose that a function f(x) is defined for all æ in [-1,1]. Can anything be said about
the existence of lim f(x)? Give reasons for your answer.
(b) Find the limit of the function
2x3 + 7
f(x) =
23 – x² + x + 7
as x + 00 and x → -00.
Transcribed Image Text:(a) Suppose that a function f(x) is defined for all æ in [-1,1]. Can anything be said about the existence of lim f(x)? Give reasons for your answer. (b) Find the limit of the function 2x3 + 7 f(x) = 23 – x² + x + 7 as x + 00 and x → -00.
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