Suppose g(x) is differentiable at x = 8, g(8)= -2, and g'(8) = 3. Select all statements that must be true. Select all that apply: U U g(x) is continuous at x = -2. lim h→0 g(-2+h)-g(-2) h lim g(x) exists. x-3 lim g(x) = -2. x48 None of the above. = 8.
Suppose g(x) is differentiable at x = 8, g(8)= -2, and g'(8) = 3. Select all statements that must be true. Select all that apply: U U g(x) is continuous at x = -2. lim h→0 g(-2+h)-g(-2) h lim g(x) exists. x-3 lim g(x) = -2. x48 None of the above. = 8.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Suppose \( g(x) \) is differentiable at \( x = 8, g(8) = -2, \) and \( g'(8) = 3 \). Select all statements that **must** be true.
Select all that apply:
- [ ] \( g(x) \) is continuous at \( x = -2 \).
- [ ] \( \lim_{h \to 0} \frac{g(-2 + h) - g(-2)}{h} = 8 \).
- [ ] \( \lim_{x \to 3} g(x) \) exists.
- [ ] \( \lim_{x \to 8} g(x) = -2 \).
- [ ] None of the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39d99037-ab62-46d9-8eef-e84624aeb8d9%2F8ba57536-1ad1-4e97-92cc-975f0d471aad%2Fqwofl17_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose \( g(x) \) is differentiable at \( x = 8, g(8) = -2, \) and \( g'(8) = 3 \). Select all statements that **must** be true.
Select all that apply:
- [ ] \( g(x) \) is continuous at \( x = -2 \).
- [ ] \( \lim_{h \to 0} \frac{g(-2 + h) - g(-2)}{h} = 8 \).
- [ ] \( \lim_{x \to 3} g(x) \) exists.
- [ ] \( \lim_{x \to 8} g(x) = -2 \).
- [ ] None of the above.
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