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Calculus: derivatives and integrals·Lesson 1 of 4

🔭

Limits: getting infinitely close

Zeno's paradox, 0.999… and the idea every part of calculus is built on.

16 min 70 XP🎓 Scholars

Step 1 of 9

Walk halfway to a wall. Then half the remaining distance. Then half again… You take infinitely many steps, yet you clearly reach the wall: $\frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \dots = 1$ . Welcome to limits.