Describe why the function is continuous at but not differentiable there.

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Describe why the function

f(x)=|x|

is continuous at

x=0

but not differentiable there.

Related theory

Continuity at a Point
Continuity
Derivative Foundations
Differentiability
Differentiability of functions
Continuity and Differentiability

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