1. Consider the function f(x)= {x+2, x>0 -x-6,x<0. Use the table of values to find the limit of the following:a. lim f(x) x→0+=x0.00010.0010.010.11f(x) b. lim f(x) x→0-= x-1.0-0.1-0.01-0.001-0.0001 f(x) c. Does the limit f(x) x→0 exist? If yes, give its value. If not, why? x+ 2, x > 01. Consider the function f(x) =Use table of values to find the(-x-6, x < 0'limit of the following:a. lim f(x) =0.00010.0010.010.11f(x)b. lim f(x) =x-0-1.0-0.1-0.01-0.001-0.0001f(x)c. Does the lim f(x) exist? If yes, give its value. If not, why?x-0

The given question has been solved in detail.

x+ 2, x > 0 (-x-6, x < 0' 1. Consider the function f(x) = Use table of values to find the limit of the following: a. lim f(x) = 0.0001 0.001 0.01 0.1 1 f(x) b. lim f(x) = -1.0 -0.1 -0.01 -0.001 -0.0001 f(x) c. Does the lim f(x) exist? If yes, give its value. If not, why? x-0

x+ 2, x > 0 (-x-6, x < 0' 1. Consider the function f(x) = Use table of values to find the limit of the following: a. lim f(x) = 0.0001 0.001 0.01 0.1 1 f(x) b. lim f(x) = -1.0 -0.1 -0.01 -0.001 -0.0001 f(x) c. Does the lim f(x) exist? If yes, give its value. If not, why? x-0

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 2E

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Question

1. Consider the function f(x)= {x+2, x>0 -x-6,x<0. Use the table of values to find the limit of the following:

a. lim f(x) x→0⁺=

x	0.0001	0.001	0.01	0.1	1
f(x)

b. lim f(x) x→0^-=

x	-1.0	-0.1	-0.01	-0.001	-0.0001
f(x)

c. Does the limit f(x) x→0 exist? If yes, give its value. If not, why?

x+ 2, x > 0
1. Consider the function f(x) =
Use table of values to find the
(-x-6, x < 0'
limit of the following:
a. lim f(x) =
0.0001
0.001
0.01
0.1
1
f(x)
b. lim f(x) =
x-0
-1.0
-0.1
-0.01
-0.001
-0.0001
f(x)
c. Does the lim f(x) exist? If yes, give its value. If not, why?
x-0

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