Finding the limit graphically Limits may not exist: • if the values near x = a cannot 'agree' on a common y-value, the limit might not exist • consider approaching along f from the left • and then consider approaching from the right • do our two approaches "come together"? if they come together, then we say the limit equals the matching output as we approach from each side • if they do not come together, we say the limit "does not exist" (DNE) Practice Graph A Graph B 1.0 1,0 1,0 lim f(x) = lim f(x) = x-1 x-1 Graph C Graph D

Finding the limit graphically Limits may not exist: • if the values near x = a cannot 'agree' on a common y-value, the limit might not exist • consider approaching along f from the left • and then consider approaching from the right • do our two approaches "come together"? if they come together, then we say the limit equals the matching output as we approach from each side • if they do not come together, we say the limit "does not exist" (DNE) Practice Graph A Graph B 1.0 1,0 1,0 lim f(x) = lim f(x) = x-1 x-1 Graph C Graph D

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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