Euler’s Number ‘e’ is a numerical constant used in mathematical calculations and its value is 2.718281828459045…so on. Just like pi(π), it is also an irrational number.

You are watching: What is e to the negative infinity

⇒ e∞

⇒ ( 2.71…)∞

As we know a constant number is multiplied by infinity time is infinity. It implies that e increases at a very high rate when e is raised to the infinity of power and thus leads towards a very large number, so we conclude that e raised to the infinity of power is infinity.

Now consider when e is raised to the power of negative infinity, then

⇒ e-∞

⇒ ( 2.71…)-∞

⇒ 1/ e∞ or 1/ (2.71…)∞

⇒ 1/ ∞

⇒ 0

That’s when e is raised to the negative infinity power, it leads toward a very small number and thus tends to zero.

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