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Chapter 14: Q. 3 (page 883)

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Limit of x theorem

For the identity function $f (x) = x$ ,

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

02

Step 1. Limit of x theorem

For the identity function $f (x) = x$ ,

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

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Most popular questions from this chapter

Use a graphing utility to find the indicated limit rounded to two decimal places.

$\lim_{x \to - 1} \frac{x^{3} + 2 x^{2} + x}{x^{4} + x^{3} + 2 x + 2}$

In Problems 53-56, use the properties of limits and the facts that

$\lim_{x \to 0} \frac{\sin x}{x} = 1 \lim_{x \to 0} \frac{\cos x - 1}{x} = 1 \lim_{x \to 0} \sin x = 0 \lim_{x \to 0} \cos x = 1$

$\lim_{x \to 0} \frac{3 \sin x + \cos x - 1}{4 x}$

In Problems 7– 42, find each limit algebraically.

$\lim_{x \to 2} {(3 x - 4)}^{2}$

Use the graph shown to determine if the limit exists. If it does, find its value.

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

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

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