(x + 2, Consider the function f (x) = }8, x< b x = b ²-10, x > b Where appropriate, you should express your answers in terms of the constant (a) Find a value for lim f(x), or state why the limit does not exist. x-b- (b) Find a value for lim f(x), or state why the limit does not exist. x-b+ (c) Find any values of b such that lim f (x) exists. If there are none, explain why. (d) Find any values of b such that f (x) is continuous for all real x. If there are none, explain why.
(x + 2, Consider the function f (x) = }8, x< b x = b ²-10, x > b Where appropriate, you should express your answers in terms of the constant (a) Find a value for lim f(x), or state why the limit does not exist. x-b- (b) Find a value for lim f(x), or state why the limit does not exist. x-b+ (c) Find any values of b such that lim f (x) exists. If there are none, explain why. (d) Find any values of b such that f (x) is continuous for all real x. If there are none, explain why.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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![(x+2,
= {8.
x< b
x = b
(x² – 10, x > b
Consider the function f (x)
Where appropriate, you should express your answers in terms of the constant b.
(a) Find a value for lim f(x), or state why the limit does not exist.
(b) Find a value for lim f(x), or state why the limit does not exist.
x-b+
(c) Find any values of b such that lim f (x) exists.
If there are none, explain why.
(d) Find any values of b such that f (x) is continuous for all real x.
If there are none, explain why.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ad3ddef-d8f8-492d-9011-e376739febd0%2F14fa7dec-21a1-4938-9920-71c7cba7567b%2Fcfdn6y_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(x+2,
= {8.
x< b
x = b
(x² – 10, x > b
Consider the function f (x)
Where appropriate, you should express your answers in terms of the constant b.
(a) Find a value for lim f(x), or state why the limit does not exist.
(b) Find a value for lim f(x), or state why the limit does not exist.
x-b+
(c) Find any values of b such that lim f (x) exists.
If there are none, explain why.
(d) Find any values of b such that f (x) is continuous for all real x.
If there are none, explain why.
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