Let(x² + 3f(x) :l(x - 2)2 if x 2 1if x < 1(a) Find the following limits. (If an answer does not exist, enter DNE.)lim f(x) =%3DX → 1-lim f(x) =X → 1+(b) Does lim f(x) exist?X → 1YesNo(c) Sketch the graph of f.yyy3f22411X-1123-1142-1-11-2--2-1234-1y

Answered: Image /qna-images/answer/78f6126f-f53b-4032-8699-f1877eba4184.jpg

Let Sx² + 3 f(x) = l(x - 2)2 if x 2 1° if x < 1 (a) Find the following limits. (If an answer does not exist, enter DNE.) lim f(x) = lim f(x) = x+1+ (b) Does lim f(x) exist? x- 1 O Yes O No (c) Sketch the graph of f. 2 -1 3 -1 3 -1 1 y

Let Sx² + 3 f(x) = l(x - 2)2 if x 2 1° if x < 1 (a) Find the following limits. (If an answer does not exist, enter DNE.) lim f(x) = lim f(x) = x+1+ (b) Does lim f(x) exist? x- 1 O Yes O No (c) Sketch the graph of f. 2 -1 3 -1 3 -1 1 y

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.1: Limits

Problem 3YT: Find limx3f(x) if f(x)={2x1ifx31ifx=3.

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Question

Let
(x² + 3
f(x) :
l(x - 2)2 if x 2 1
if x < 1
(a) Find the following limits. (If an answer does not exist, enter DNE.)
lim f(x) =
%3D
X → 1-
lim f(x) =
X → 1+
(b) Does lim f(x) exist?
X → 1
Yes
No
(c) Sketch the graph of f.
y
y
y
3f
2
2
4
1
1
X
-1
1
2
3
-1
1
4
2
-1
-1
1
-2-
-2
-1
2
3
4
-1
y

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