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AP Calculus AB/BC
Unit 1 – Limits and Continuity
Topic 1.11
What is true regarding continuity at a point?
A function can not be continuous at x = a but is differentiable at x = a.
If a function is differentiable at x = a, then it is also continuous at x = a.
A function can be differentiable at x = a but not continuous at x = a.
If a function is continuous at x = a, then it is also differentiable at x = a
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AP Calculus AB/BC - 1.11 Defining Continuity at a Point
Key terms
Continuity
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About Fiveable
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Resources
Cram Mode
AP Score Calculators
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Practice Quizzes
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Crisis Text Line
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© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.
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