Chapter 14: Q. 5 (page 875)

True or False: $\lim_{x \to c} f (x) = N$ may be described by saying that the value of f(x) gets closer to N as x gets closer to c but remains unequal to c.

Short Answer

Expert verified

The given statement is true.

Step by step solution

Step 1. Given information.

We are given that

$\lim_{x \to c} f (x) = N$ may be described by saying that value of f(x) gets closer to N as x gets closer to c but remains unequal to c.

Step 2. Explanation for the true given statement.

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

By the definition,

As x gets closer to c, the value of f(x)gets closer to N.

So, the given statement is true.

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True or False: $\lim_{x \to c} f (x) = N$ may be described by saying that the value of f(x) gets closer to N as x gets closer to c but remains unequal to c.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Explanation for the true given statement.

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True or False: limx→cf(x)=Nmay be described by saying that the value of f(x) gets closer to N as x gets closer to c but remains unequal to c.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Explanation for the true given statement.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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True or False: $\lim_{x \to c} f (x) = N$ may be described by saying that the value of f(x) gets closer to N as x gets closer to c but remains unequal to c.