Dual-panel sequences and series explorer. Top: bar chart of individual terms aₙ. Bottom: line chart of cumulative partial sums Sₙ with S∞ convergence line. Covers Arithmetic, Geometric (divergent and convergent |r|<1), and Harmonic sequences with adjustable parameters.
Visualize how the degree and leading coefficient of a polynomial determine its end behavior. Adjust coefficients interactively and observe limit notation for x→±∞ in real time.
Explore vertical, horizontal, and slant asymptotes of rational functions. Switch between preset functions or enter custom numerator/denominator coefficients to see asymptote detection in real time.
Navigate the unit circle interactively. Drag or select angles to see exact sine, cosine, and tangent values. Visualize reference angles, quadrant signs, and the right triangle projection.
Compare exponential growth and decay side by side. Adjust the initial value and base to see how doubling time, half-life, and growth rate change. Includes real-world presets like compound interest and radioactive decay.