Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 4: Q. 13 (page 193)

If $f (x) = - 2 x^{5} + x^{3} - 5 x^{2} + 7$ , then $\lim_{x 鈫� - 鈭�} f (x) =________$ and $\lim_{x 鈫� 鈭�} f (x) =________$ .

Short Answer

Expert verified

The solution is $\lim_{x 鈫� - 鈭�} f (x) = 鈭�$ and $\lim_{x 鈫� 鈭�} f (x) = - 鈭�$ .

Step by step solution

Given information

Function: $f (x) = - 2 x^{5} + x^{3} - 5 x^{2} + 7$

Calculation

We have,

$f (x) = - 2 x^{5} + x^{3} - 5 x^{2} + 7$

Now, $\lim_{x 鈫� - 鈭�} f (x) = \lim_{x 鈫� - 鈭�} (- 2 x^{5} + x^{3} - 5 x^{2} + 7)$

role="math" localid="1646902515040" $= \lim_{x 鈫� - 鈭�} (x^{5}) (- 2 + \frac{1}{x^{2}} - \frac{5}{x^{3}} + \frac{7}{x^{5}})$

role="math" localid="1646902576542" $= \lim_{x 鈫� - 鈭�} (x^{5}) (- 2 + 0 - 0 + 0)$

$= 鈭�$

and $\lim_{x 鈫� 鈭�} f (x) = \lim_{x 鈫� 鈭�} (- 2 x^{5} + x^{3} - 5 x^{2} + 7)$

$= \lim_{x 鈫� 鈭�} (x^{5}) (- 2 + \frac{1}{x^{2}} - \frac{5}{x^{3}} + \frac{7}{x^{5}})$

$= \lim_{x 鈫� 鈭�} (x^{5}) (- 2 + 0 - 0 + 0)$

$= - 鈭�$

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91影视

If $f (x) = - 2 x^{5} + x^{3} - 5 x^{2} + 7$ , then $\lim_{x 鈫� - 鈭�} f (x) =________$ and $\lim_{x 鈫� 鈭�} f (x) =________$ .

Short Answer

Step by step solution

Given information

Calculation

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91影视

If fx=-2x5+x3-5x2+7, then limx鈫�-鈭�fx=________andlimx鈫�鈭�fx=________.

Short Answer

Step by step solution

Given information

Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Calculus

Theoretical and Mathematical Physics

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

If $f (x) = - 2 x^{5} + x^{3} - 5 x^{2} + 7$ , then $\lim_{x 鈫� - 鈭�} f (x) =________$ and $\lim_{x 鈫� 鈭�} f (x) =________$ .