For the function shown below, find (if the quantity exists) (A) lim f(x). (B) lim f(x), (C) lim f(x), and (D) f(0). X-0* x→0 f(x) = 4-x², for x≤0 4+x², for x>0 (A) Select the correct choice below and fill in any answer boxes in your choice. O A. O A. lim f(x) = X-0+ O B. The limit does not exist. (B) Select the correct choice below and fill in any answer boxes in your choice. lim f(x) = X-0- X-0 O B. The limit does not exist. (C) Select the correct choice below and fill in any answer boxes in your choice. OA. lim f(x)= x→0 O B. The limit does not exist. (D) Select the correct choice below and fill in any answer boxes in your choice. O A. f(0) = OB. The value does not exist.

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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For the function shown below, find (if the quantity exists) (A) lim f(x), (B) lim f(x), (C) lim f(x), and (D) f(0).
X→0*
x→0
f(x) =
4-x², for x≤0
4+x², for x>0
(A) Select the correct choice below and fill in any answer boxes in your choice.
O A. lim f(x) =
X→0+
O B. The limit does not exist.
(B) Select the correct choice below and fill in any answer boxes in your choice.
O A. lim f(x) =
X-0-
_0+x
O B. The limit does not exist.
(C) Select the correct choice below and fill in any answer boxes in your choice.
OA. lim f(x)=
x→0
OB. The limit does not exist.
(D) Select the correct choice below and fill in any answer boxes in your choice.
O A. f(0) =
OB. The value does not exist.
Transcribed Image Text:For the function shown below, find (if the quantity exists) (A) lim f(x), (B) lim f(x), (C) lim f(x), and (D) f(0). X→0* x→0 f(x) = 4-x², for x≤0 4+x², for x>0 (A) Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = X→0+ O B. The limit does not exist. (B) Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = X-0- _0+x O B. The limit does not exist. (C) Select the correct choice below and fill in any answer boxes in your choice. OA. lim f(x)= x→0 OB. The limit does not exist. (D) Select the correct choice below and fill in any answer boxes in your choice. O A. f(0) = OB. The value does not exist.
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