ε-δ Definition of a Limit
Explore the rigorous epsilon-delta (ε-δ) definition of a limit, the formal foundation of calculus. Visualize how for every ε > 0, there exists a δ > 0 such that if 0 < |x - c| < δ, then |f(x) - L| < ε. Understand how this definition precisely captures the intuitive notion that f(x) approaches L as x approaches c, and practice constructing epsilon-delta proofs.
Limits & Continuity Explorer
Interactive limit evaluation (left-hand, right-hand, absolute) and 3-step continuity logical check tool simulating removable, jump, infinite, and oscillating discontinuities.
Squeeze Theorem Visualizer
Interactive visualization of the Squeeze Theorem with 4 classic examples (x²sin(1/x), sin(x)/x, x·cos(1/x), (1−cos x)/x²). Shows bounding functions g(x) ≤ f(x) ≤ h(x) with shaded squeeze region. Adjustable zoom and convergence to limit point.