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CAL001 · Calculus · Classes 11–12

Calculus: Limits

A limit is the value a function approaches as x gets close to a point.

📐 Formula

lim (x → 0) sin x / x = 1

✏️ Worked example

x = 0.5: sin(0.5)/0.5 ≈ 0.959; at x = 0.05 it is ≈ 0.9996.

🌍 Where it is used

Defines speed at an instant and the foundation of calculus.

❓ Quick check

lim (x → 0) sin x / x =