Question

If y = lim [-3x^3+2x^2-4x+5] when x--> -2

Answer 1

In this case to calculate the limit, you simply plug the x value of -2 into the function

$y = \lim_{x \to \--2}( -3x^3+2x^2-4x+5) = 24 + 8+8+5 = 45$

So the limit equals 45.

Hope that helps!

Answer 2

Answer:

$\displaystyle y = 45$

General Formulas and Concepts:
Calculus

Limits

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

Step-by-step explanation:

Step 1: Define

Identify.

$\displaystyle y = \lim_{x \to -2} \big[ -3x^3 + 2x^2 - 4x + 5]$

Step 2: Find Limit

1. [Limit] Limit Rule [Variable Direct Substitution]:                                         $\displaystyle y = -3(-2)^3 + 2(-2)^2 - 4(-2) + 5$
2. Evaluate:                                                                                                       $\displaystyle y = 45$

∴ the limit as x approaches -2 of the given function -3x³ + 2x² - 4x + 5 is equal to 45.

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Learn more about limits: brainly.com/question/26091024

Learn more about calculus: brainly.com/question/26752465

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

Unit: Limits