ToEvaluateThe limit lim x → 1 − f ( x ) for the function f ( x ) = { x 2 − 1 if x < 1 4 − x if x ≥ 1

Question

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Answer 1

Question

Chapter 2.1, Problem 41E

a.

To determine

ToEvaluateThe limit limx→1−f(x) for the function f(x)={x2−1 if x<14−x if x≥1

b.

To determine

To Evaluate The limit limx→1+f(x) for the function f(x)={x2−1 if x<14−x if x≥1

c.

To determine

To Evaluate The limit limx→1f(x) for the function f(x)={x2−1 if x<14−x if x≥1

.

To determine

ToSketchThe graph of the function f(x)={x2−1 if x<14−x if x≥1

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Answer 2

Question

Chapter 2.1, Problem 41E

a.

To determine

ToEvaluateThe limit limx→1−f(x) for the function f(x)={x2−1 if x<14−x if x≥1

b.

To determine

To Evaluate The limit limx→1+f(x) for the function f(x)={x2−1 if x<14−x if x≥1

c.

To determine

To Evaluate The limit limx→1f(x) for the function f(x)={x2−1 if x<14−x if x≥1

.

To determine

ToSketchThe graph of the function f(x)={x2−1 if x<14−x if x≥1

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 2.1, Problem 41E

a.

To determine

ToEvaluateThe limit limx→1−f(x) for the function f(x)={x2−1 if x<14−x if x≥1

b.

To determine

To Evaluate The limit limx→1+f(x) for the function f(x)={x2−1 if x<14−x if x≥1

c.

To determine

To Evaluate The limit limx→1f(x) for the function f(x)={x2−1 if x<14−x if x≥1

.

To determine

ToSketchThe graph of the function f(x)={x2−1 if x<14−x if x≥1

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 2.1, Problem 41E

a.

To determine

ToEvaluateThe limit limx→1−f(x) for the function f(x)={x2−1 if x<14−x if x≥1

b.

To determine

To Evaluate The limit limx→1+f(x) for the function f(x)={x2−1 if x<14−x if x≥1

c.

To determine

To Evaluate The limit limx→1f(x) for the function f(x)={x2−1 if x<14−x if x≥1

.

To determine

ToSketchThe graph of the function f(x)={x2−1 if x<14−x if x≥1

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 2.1, Problem 41E

a.

To determine

ToEvaluateThe limit limx→1−f(x) for the function f(x)={x2−1 if x<14−x if x≥1

b.

To determine

To Evaluate The limit limx→1+f(x) for the function f(x)={x2−1 if x<14−x if x≥1

c.

To determine

To Evaluate The limit limx→1f(x) for the function f(x)={x2−1 if x<14−x if x≥1

.

To determine

ToSketchThe graph of the function f(x)={x2−1 if x<14−x if x≥1

Answer 6

Chapter 2.1, Problem 41E

a.

To determine

ToEvaluateThe limit limx→1−f(x) for the function f(x)={x2−1 if x<14−x if x≥1

Answer 7

Chapter 2.1, Problem 41E

a.

To determine

ToEvaluateThe limit limx→1−f(x) for the function f(x)={x2−1 if x<14−x if x≥1

Answer 8

b.

To determine

To Evaluate The limit limx→1+f(x) for the function f(x)={x2−1 if x<14−x if x≥1

Answer 9

b.

To determine

To Evaluate The limit limx→1+f(x) for the function f(x)={x2−1 if x<14−x if x≥1

Answer 10

c.

To determine

To Evaluate The limit limx→1f(x) for the function f(x)={x2−1 if x<14−x if x≥1

Answer 11

c.

To determine

To Evaluate The limit limx→1f(x) for the function f(x)={x2−1 if x<14−x if x≥1

Answer 12

.

To determine

ToSketchThe graph of the function f(x)={x2−1 if x<14−x if x≥1

Answer 13

.

To determine

ToSketchThe graph of the function f(x)={x2−1 if x<14−x if x≥1

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

ToEvaluateThe limit lim x → 1 − f ( x ) for the function f ( x ) = { x 2 − 1 if x < 1 4 − x if x ≥ 1

Solution Summary: The author explains that the limit of a function f(x) at x=a exists if the left hand limit limxaf is equal to the right-hand limit.

Concept explainers

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ToEvaluateThe limit limx→1−f(x) for the function f(x)={x2−1 if x<14−x if x≥1

To Evaluate The limit limx→1+f(x) for the function f(x)={x2−1 if x<14−x if x≥1

To Evaluate The limit limx→1f(x) for the function f(x)={x2−1 if x<14−x if x≥1

ToSketchThe graph of the function f(x)={x2−1 if x<14−x if x≥1

Want to see the full answer?

Chapter 2.1 Solutions

ToEvaluateThe limit lim x → 1 − f ( x ) for the function f ( x ) = { x 2 − 1 if x &lt; 1 4 − x if x ≥ 1

Solution Summary: The author explains that the limit of a function f(x) at x=a exists if the left hand limit limxaf is equal to the right-hand limit.

Concept explainers

Videos

ToEvaluateThe limit limx→1−f(x) for the function f(x)={x2−1 if x<14−x if x≥1

To Evaluate The limit limx→1+f(x) for the function f(x)={x2−1 if x<14−x if x≥1

To Evaluate The limit limx→1f(x) for the function f(x)={x2−1 if x<14−x if x≥1

ToSketchThe graph of the function f(x)={x2−1 if x<14−x if x≥1

Want to see the full answer?

Chapter 2.1 Solutions

ToEvaluateThe limit lim x → 1 − f ( x ) for the function f ( x ) = { x 2 − 1 if x < 1 4 − x if x ≥ 1