Math Problem Statement
will a tangent touch a curve at 1 and 1.0000001 for a continuous function
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Continuity
Tangents
Secant Lines
Formulas
Derivative f'(x)
Slope of a tangent at a point = f'(x) at that point
Theorems
Definition of Tangent Line
Fundamental Theorem of Calculus (in relation to tangents)
Suitable Grade Level
Grades 11-12
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