2.21586210 rounded to four decimal places
1 answer:
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Answer:
General Formulas and Concepts:
<u>Calculus</u>
Limits
Limit Rule [Constant]:
Limit Rule [Variable Direct Substitution]:
Limit Property [Addition/Subtraction]:
L'Hopital's Rule
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
We are given the following limit:
Let's substitute in <em>x</em> = -2 using the limit rule:
Evaluating this, we arrive at an indeterminate form:
Since we have an indeterminate form, let's use L'Hopital's Rule. Differentiate both the numerator and denominator respectively:
Substitute in <em>x</em> = -2 using the limit rule:
Evaluating this, we get:
And we have our answer.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits