Continuity — three classic examples

About this app

Three classroom examples: parameter c in 2x+c (for which c is f continuous?), x/(x+2) | (x+1)/2 with pole and jump, |x+3| + |x−4| − 5 as a piecewise linear bend.

Subject: Analysis (one-dimensional)

More from Analysis (one-dimensional)

• Derivative as a sequence of secants
• Bounded growth
• Exponential growth and decay
• Optimisation: the largest rectangle
• Area between curves
• Area function is an antiderivative
• Sequential continuity
• Rational functions and asymptotes

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