c. f(x) + g(x) d. 1/f(x) f(x)• cos x e. x + f(x) f. x – 1 mine where (if anywhere) the following function is discontinuous [

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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I need help on questions d) e) f) and no. 8

Suppose that f(x) and g(x) are defined_for all x and that
lim,o f(x) = 1/2 and lim»o g(x) = V/2. Find the limits as
x→0 of the following functions.
b. g(x)·f(x)
d. 1/f(x)
f(x)• cos x
а. —g (x)
c. f(x) + g(x)
e. x + f(x)
f.
x - 1
8. Determine where (if anywhere) the following function is discontinuous [8 marks]
x< -1
-1 <x< 0
1,
-x,
f(x) =
1,
x = 0
0 <x< 1
x 2 1.
-x,
1,
Transcribed Image Text:Suppose that f(x) and g(x) are defined_for all x and that lim,o f(x) = 1/2 and lim»o g(x) = V/2. Find the limits as x→0 of the following functions. b. g(x)·f(x) d. 1/f(x) f(x)• cos x а. —g (x) c. f(x) + g(x) e. x + f(x) f. x - 1 8. Determine where (if anywhere) the following function is discontinuous [8 marks] x< -1 -1 <x< 0 1, -x, f(x) = 1, x = 0 0 <x< 1 x 2 1. -x, 1,
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