Sequential continuity

About this app

Continuity via the sequential criterion: sequence xₙ → x₀ from the left, from the right, alternating — does the image sequence f(xₙ) settle into the ε-tube around f(x₀)? Six examples: parabola, jump, removable hole, oscillation sin(1/x), step, pole.

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
• Rational functions and asymptotes
• Graphical differentiation

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