Practice question · Multiple choice
A startup projects 20%/month growth "indefinitely" in its pitch deck. Which mathematical objection is the sharpest?
Hints
- Where does go as ?
- Compare with the number of humans alive.
Show the answer
C. Exponentials outgrow any finite market
Why
At 20%/month the user base multiplies ~9× yearly; in a few years it exceeds humanity. The exponential is locally right and globally impossible, every honest forecast eventually swaps in the brake.
Practise Differential Equations
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