Chapter 14: Q. 6 (page 875)

True or False: $\lim_{x \to c} f (x)$ exists and equals some number for any function f as long as c is in the domain of f.

Short Answer

Expert verified

The given statement is false.

Step by step solution

Step 1. Given information.

Given is the statement

$\lim_{x \to c} f (x)$ exists and equals some number for any function fas long as c is in the domain off.

Step 2. Explanation for the given statement to be false.

We need to find whether the given statement is true or false.

The given statement is false since function could be undefined at c, the definition of the limit is the function near c.

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True or False: $\lim_{x \to c} f (x)$ exists and equals some number for any function f as long as c is in the domain of f.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Explanation for the given statement to be false.

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True or False: limx→cf(x)exists and equals some number for any function f as long as c is in the domain of f.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Explanation for the given statement to be false.

One App. One Place for Learning.

Most popular questions from this chapter

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True or False: $\lim_{x \to c} f (x)$ exists and equals some number for any function f as long as c is in the domain of f.