The graph of a function f and its tangent line at x = 1 are shown below. Find the value of each of the following limits. If the limit does not exist, write “DNE”.

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...
Question

The graph of a function f and its tangent line at x = 1 are shown below.

Find the value of each of the following limits. If the limit does not exist, write “DNE”.

-3
f
et
-1
-1
-2
-3
1
2 3
Tangent line
to f at x = 1
Transcribed Image Text:-3 f et -1 -1 -2 -3 1 2 3 Tangent line to f at x = 1
(a) lim f(x)
x→-1
(b) lim
h→0
=
f(1+h)-f(1)
h
Transcribed Image Text:(a) lim f(x) x→-1 (b) lim h→0 = f(1+h)-f(1) h
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