f (x) = { 0 S 1 if x is rational if x is irrational at any point x. (b) f(x) = (sin x)/x at x = 0. (c) f(x) = 1/x at x = 0. (d) f (x): =D | |미/z if z+0 if x = 0 at x = 0. (e) f(x) = 7 (x2 – 9)/(x – 3) if x +3 if x = 3 at x = 3.
f (x) = { 0 S 1 if x is rational if x is irrational at any point x. (b) f(x) = (sin x)/x at x = 0. (c) f(x) = 1/x at x = 0. (d) f (x): =D | |미/z if z+0 if x = 0 at x = 0. (e) f(x) = 7 (x2 – 9)/(x – 3) if x +3 if x = 3 at x = 3.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 1E: If the rational function y=r(x) has the vertical asymptote x=2, then as x2+ , either y ______or y...
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Please show your work on the answers from (a) to (e)
Transcribed Image Text:1. Describe the types of discontinuities of the following functions at the given
points:
(а)
S 1
{
if x is rational
f (x) =
0.
if x is irrational
at any point x.
(b) f(x)
= (sin x)/x at x =
= 0.
(c) ƒ(x)=1/x at x = 0.
(d)
if x # 0
f (x)
1
if x = 0
at x =
= 0.
(e)
f (x) = { (a² – 9)/(x – 3)
7
.2
f(m) = { "
if x + 3
if x = 3
-
at x = 3.
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