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Concept explainers
- (a) Explain what is meant by limx→a f(x) = L.
- (b) If limx→2 f(x) = 5, is it possible that f(2) = 3?
- (c) Find limx→2 x2.
(a)
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To Explain: The expression
Explanation of Solution
The expression
The above expression define as the limit of the function is very close to the number
(b)
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To verify: Whether the expression
Explanation of Solution
The given limit of the function at the number
The limit of the function states that the value of
Here, the limit of the function at
The given expression is,
Substitute 2 for x in the above equation,
So, the limit of the function at
Thus,
(c)
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To find: The value of the expression
Answer to Problem 1RCC
The value of the given expression
Explanation of Solution
Given:
The limit of the function is
Calculation:
The expression is,
Substitute 2 for x in the above expression,
Thus, the value of the given expression
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Chapter 13 Solutions
Precalculus: Mathematics for Calculus (Standalone Book)
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