Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
In this case to calculate the limit, you simply plug the x value of -2 into the function
[tex]y = \lim_{x \to \--2}( -3x^3+2x^2-4x+5) = 24 + 8+8+5 = 45\\[/tex]
So the limit equals 45.
Hope that helps!
Answer:
[tex]\displaystyle y = 45[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle y = \lim_{x \to -2} \big[ -3x^3 + 2x^2 - 4x + 5][/tex]
Step 2: Find Limit
- [Limit] Limit Rule [Variable Direct Substitution]: [tex]\displaystyle y = -3(-2)^3 + 2(-2)^2 - 4(-2) + 5[/tex]
- Evaluate: [tex]\displaystyle y = 45[/tex]
∴ the limit as x approaches -2 of the given function -3x³ + 2x² - 4x + 5 is equal to 45.
---
Learn more about limits: https://brainly.com/question/26091024
Learn more about calculus: https://brainly.com/question/26752465
---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.