Euler’s Number ‘e’ is a numerical continuous used in mathematics calculations and also its value is 2.718281828459045…so on. Similar to pi(π), it is also an irrational number.
You are watching: What is e^negative infinity
⇒ ( 2.71…)∞
As we understand a constant number is multiply by infinity time is infinity. It suggests that e rises at a really high rate once e is raised to the infinity the power and also thus leads in the direction of a very large number, so us conclude the e increased to the infinity of strength is infinity.
Now consider when e is increased to the power of negative infinity, then
⇒ ( 2.71…)-∞
⇒ 1/ e∞ or 1/ (2.71…)∞
⇒ 1/ ∞
That’s once e is increased to the negative infinity power, that leads towards a very little number and thus has tendency to zero.
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