Let f be defined as follows: x < 0 x > 0 f(x) = Which of the following statements are true about? 1. f(0) exists II. lim f(x) exists x→0 III. f is continuous at x=0 O I only O I and II x x²+2x x + 1 I and III O I, II, and III None of these

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
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Let f be defined as follows:
x < 0
x > 0
f(x)
=
Which of the following statements are true about?
1. f(0) exists
II. lim f(x) exists
x→0
III. f is continuous at x=0
O I only
O I and II
x
x²+2x
x + 1
I and III
O I, II, and III
None of these
Transcribed Image Text:Let f be defined as follows: x < 0 x > 0 f(x) = Which of the following statements are true about? 1. f(0) exists II. lim f(x) exists x→0 III. f is continuous at x=0 O I only O I and II x x²+2x x + 1 I and III O I, II, and III None of these
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