3a) Determine whether or not the function below is differentiable at 0 by using the definition of the derivative. No graphs. ² sin (1), (x² 0, g(x) = x = 0 x=0 b) Is the function g above continuous at 0? Justify your work. No graphs.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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3a) Determine whether or not the function below is differentiable at 0 by using the
definition of the derivative. No graphs.
- {x² sin (²),
0,
g(x) =
x = 0
x = 0
b) Is the function g above continuous at 0? Justify your work. No graphs.
Transcribed Image Text:3a) Determine whether or not the function below is differentiable at 0 by using the definition of the derivative. No graphs. - {x² sin (²), 0, g(x) = x = 0 x = 0 b) Is the function g above continuous at 0? Justify your work. No graphs.
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