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Chapter 14: Q. 2 (page 883)

$\lim_{x \to c} b =_____.$

Short Answer

Expert verified

$\lim_{x \to c} b = b$

Step by step solution

01

Step 1. Given Information

Evaluate the value of

$\lim_{x \to c} b =_____.$

02

Step 2. Limit of a constant theorem

The limit of a constant is the constant.

For the constant function $f (x) = b$ ,

$\lim_{x \to c} f (x) = \lim_{x \to c} b = b$

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Most popular questions from this chapter

In Problem, graph each function. Use the graph to find the indicated limit, if it exists.

$\underset{x \to 0}{l i m} f (x), f (x) = \{\begin{cases} 1 & i f x < 0 \\ - 1 & i f x > 0 \end{cases}$

Graph each function. Use the graph to find the indicated limit, if it exists.

$\lim_{x \to - 1} f (x), f (x) = x^{3} - 1$

In Problems 7– 42, find each limit algebraically

$\lim_{x \to 1} 5$

In Problems 13–32, use the accompanying graph of y = f(x).

Find $\lim_{x \to - 4^{+}} f (x) .$

In Problems 7– 42, find each limit algebraically

$\lim_{x \to - 1} (3 x^{2} - 5 x)$

See all solutions

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