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Which one of the following functions is strictly bounded?

1. 1/x²
2. e^x
3. x²
4. e^(-x²)

Correct answer: e^(-x²)

Solution

The function e^(-x²) is strictly bounded because it approaches 0 as x approaches positive or negative infinity, and it has a maximum value of 1 at x=0, ensuring it remains within a fixed range.

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