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Chapter 14: Q. 8 (page 907)

In Problems 8–12, use the accompanying graph of $y = (x)$
Find $\lim_{x \to 3^{+}} f (x)$

Short Answer

Expert verified

The value of the limit $\lim_{x \to 3^{+}} f (x) =$ $- 3$

Step by step solution

01

Step 1. Given Information

A graph of a function is given.

We need to find the value of $\lim_{x \to 3^{+}} f (x)$

02

Step 2. Conclusion from the graph

It is clear from the graph that,

When $x$ approaches $c = 3$ from right,

The value of $y = - 3$

Therefore,

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

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Most popular questions from this chapter

In Problems 7– 42, find each limit algebraically

$\lim_{x \to 1} (5 x^{4} - 3 x^{2} + 6 x - 9)$

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

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

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

If we only approach c from one side, then we have a(n) ___________limit.

Name the trigonometric functions that have asymptotes.

In Problems 7– 42, find each limit algebraically

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

See all solutions

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