Complete (a) and (b). You can verify your conclusions by graphing the functions with a graphing calculator. x3 – 1 lim x--0 x3 + 6 (a) Use analytic methods to evaluate the limit. (If the limit is infinite, enter 'oo' or '-o', as appropriate. If the limit does not otherwise exist, enter DNE.) (b) What does the result from part (a) tell you about horizontal asymptotes? O The result indicates that there is a horizontal asymptote. O The result does not yield any information regarding horizontal asymptotes. The result indicates that there are no horizontal asymptotes.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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Complete (a) and (b). You can verify your conclusions by graphing the functions with a graphing calculator.
x3 – 1
lim
x--0 x3 + 6
(a) Use analytic methods to evaluate the limit. (If the limit is infinite, enter 'oo' or '-o', as appropriate. If the limit does not otherwise exist, enter DNE.)
(b) What does the result from part (a) tell you about horizontal asymptotes?
O The result indicates that there is a horizontal asymptote.
O The result does not yield any information regarding horizontal asymptotes.
The result indicates that there are no horizontal asymptotes.
Transcribed Image Text:Complete (a) and (b). You can verify your conclusions by graphing the functions with a graphing calculator. x3 – 1 lim x--0 x3 + 6 (a) Use analytic methods to evaluate the limit. (If the limit is infinite, enter 'oo' or '-o', as appropriate. If the limit does not otherwise exist, enter DNE.) (b) What does the result from part (a) tell you about horizontal asymptotes? O The result indicates that there is a horizontal asymptote. O The result does not yield any information regarding horizontal asymptotes. The result indicates that there are no horizontal asymptotes.
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