symbol of absolute value. Compute lim f (x) and lim f(r). Does limf(r) exist? Justify. エ→2- エ→2+ 2 Calculate limg(x). Is the function g continuous at r = 2? h(r)- h(2) Compute lim Is the functionh differentiable in the left of r = 2? Why x- 2 h(x) – h(2) compute lim エ→2+ Is the function h differentiable in the right of r = 2? Why? Is the function h differentiable at r 2? Why?

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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Solve the last 3 questions the first three were already solved
Let be given the following functions
2 +2–x +2| -4
g(x)
S(x) =
r2 +-6
x + \x – 2|
h(x) =
%3D
r- 2
2 - 4
%3D
I+2
Write the functions f and h without the symbol of absolute value.
Compute lim f (x) and lim f(r). Does limf(r) exist? Justify.
エ→2
エ→2+
エー→2
Calculate limg(x). Is the function g continuous at r 2?
Compute lim
h(r)- h(2)
Is the function h differentiable in the left of r = 2? Why?
%3D
エー→2-
r- 2
h(x) – h(2)
compute lim
Is the function h differentiable at r 2? Why?
Is the function h differentiable in the right of r = 2? Why?
エ→2+
Transcribed Image Text:Let be given the following functions 2 +2–x +2| -4 g(x) S(x) = r2 +-6 x + \x – 2| h(x) = %3D r- 2 2 - 4 %3D I+2 Write the functions f and h without the symbol of absolute value. Compute lim f (x) and lim f(r). Does limf(r) exist? Justify. エ→2 エ→2+ エー→2 Calculate limg(x). Is the function g continuous at r 2? Compute lim h(r)- h(2) Is the function h differentiable in the left of r = 2? Why? %3D エー→2- r- 2 h(x) – h(2) compute lim Is the function h differentiable at r 2? Why? Is the function h differentiable in the right of r = 2? Why? エ→2+
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