1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
romanna [79]
2 years ago
8

Need to show work for limits

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
3 0

Answer:

\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3) = \infty

General Formulas and Concepts:
<u>Calculus</u>

Limits

Limit Rule [Variable Direct Substitution]:
\displaystyle \lim_{x \to c} x = c

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given.</em>

<em />\displaystyle \lim_{x \to -\infty} (-7x^5 + x^3)

<u>Step 2: Evaluate</u>

  1. [Limit] Apply Limit Rule [Variable Direct Substitution]:
    \displaystyle \lim_{x \to -\infty} (-7x^5 + x^3) = -7(- \infty)^5 + (- \infty)^3

Recall that x⁵ is a "faster" function than x³. Also recall that we have 2 negatives, which would turn <em>positive</em>. Therefore, we can <em>ignore </em>the 2nd part of the limit and focus on the first:
\displaystyle \begin{aligned}\lim_{x \to -\infty} (-7x^5 + x^3) & = -7(- \infty)^5 + (- \infty)^3 \\& = -7(- \infty)^5 \\& = -7(- \infty) \\& = 7(\infty) \\& = \boxed{\infty} \\\end{aligned}

∴ we have found the limit to equal infinity.

---

Learn more about limits: brainly.com/question/27438198

Learn more about calculus: brainly.com/question/27351658

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

You might be interested in
If you are playing a game, and the game consist of you rolling a die, every time you rol an even
Goryan [66]

Answer:

-30

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
If its -26 degree in Canada and 34 degrees in Australia what is the difference in temperature
tatyana61 [14]

Answer:

It would be 60 degrees

Step-by-step explanation:

You take the numbers and write the equation 34-(-26) to figure out the difference. You then change the signs, making it 34+26, as before you were subtracting a negative. If you complete that problem, you come to the conclusion of 60.

6 0
3 years ago
At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $44.00. Tori bought two pairs of gloves and two
NikAS [45]

Answer:

<u>$6.00 for a pair of gloves and $8.00 for a hat </u>

7 0
2 years ago
Which step comes first? 12÷3•(15-6)+3​
bagirrra123 [75]
Pemdas

Parentheses
Exponents
Multiply
Divide
Add
Subtract
3 0
3 years ago
Read 2 more answers
Help,anyone can help me do quetion.​
swat32

Answer:

Step-by-step explanation:

The given figure is parallelogram becasue their opposite sides are equal.

68+45+30+x=180 degree (sum of adjacent sides of a parallelogram are equal)

143 +x=180

x=180-143

x=37 degree

y=45 degree

4 0
3 years ago
Other questions:
  • The nurse researcher is reading about linear regression. what is linear regression
    9·2 answers
  • In a bakery, the number of buns delivered is a function of the number of boxes packed. What is the domain of this function? The
    5·2 answers
  • Please, help me on this question, guys! I know the answer for (a) so I'll write down, too. For (b) I tried "$89,000 because that
    6·1 answer
  • Plzzzzz hellllp meeeee plz
    13·2 answers
  • Describe how the graph of y=lxl – 7 is like the graph of y=lxl and how it is different.
    8·1 answer
  • A group of band instructors answered a survey about hours of rehearsal per week and number of competitions won. The graph shows
    6·2 answers
  • How do you know whether two quantities x and y are proportional?
    6·1 answer
  • Identify the function of the transformation
    5·1 answer
  • Which rational number is less than 4/9​
    7·1 answer
  • -7f+6=116+3f<br><br><br> help me plss
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!