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Chapter 14: Q. 1 (page 905)

find the limit
$\lim_{x \to 2} (3 x^{2} - 2 x + 1)$

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information

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

02

Step 2. Limit of the function

We can find limit of a polynomial function is $\lim_{x \to c} f (x) = f (c)$ .

As f(x)= $(3 x^{2} - 2 x + 1)$ is a polynomial function and it s defined for all real numbers we can use the above formula.

$\lim_{x \to 2} P (x) = P (2) = 3 (2)^{2} - 2 (2) + 1 = 9$

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Most popular questions from this chapter

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

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

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

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

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

$11 . \lim_{x \to 4} \frac{x^{2} - 4 x}{x - 4}$ .

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

$\lim_{x \to 3} \frac{x^{3} - 3 x^{2} + 4 x - 12}{x^{4} - 3 x^{3} + x - 3}$

See all solutions

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