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

You are watching: What is e to the power of infinity

⇒ e∞

⇒ ( 2.71…)∞

As we recognize a continuous number is multiplied by infinity time is infinity. It implies that e rises at a an extremely high rate as soon as e is raised to the infinity that power and also thus leads towards a very huge number, so us conclude the e increased to the infinity of strength is infinity.

Now think about when e is elevated to the power of an adverse infinity, then

⇒ e-∞

⇒ ( 2.71…)-∞

⇒ 1/ e∞ or 1/ (2.71…)∞

⇒ 1/ ∞

⇒ 0

That’s as soon as e is increased to the negative infinity power, the leads towards a very little number and also thus often tends to zero.

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