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Chapter 14: Q. 24 (page 906)

Find $\lim_{x \to 2^{+}} f (x)$ .

Short Answer

Expert verified

The limit $\lim_{x \to 2^{+}} f (x)$ .

Step by step solution

01

Step 1. Graph the function f(x)

We have been given $\lim_{x \to 2^{+}} f (x)$ .

Now let us graph the function with the help of a graphing utility.

02

Step 2. Finding the limit from the graph.

In the graph, let us consider the behavior of $f (x)$ near $n = 2$ when approaching from the right side.

The graph approaches $+ \infty$ as $x$ approaches $2$ .

That is, $\lim_{x \to 2^{+}} f (x) = \infty$ .

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Most popular questions from this chapter

In Problems 7–16, use a table to find the indicated limit.

$13 . \lim_{x \to 0} (e^{x} + 1)$ .

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

What is the range of $f$ ?

In Problems 43-52, find the limit as $x$ approaches $c$ of the average rate of change of each function from $c$ to $x$ .

$f (x) = \frac{1}{x^{2}}$

In Problems 7– 42, find each limit algebraically

$\lim_{x \to - 1} (8 x^{5} - 7 x^{3} + 8 x^{2} + x - 4)$

The notation _____________ is used to describe the fact that as x gets closer to c, but remains greater than c, the value of $f (x)$ gets closer to R.

See all solutions

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