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

You are watching: E to the power of infinity

⇒ e∞

⇒ ( 2.71…)∞

As we know a continuous number is multiplied by infinity time is infinity. It means that e boosts at a really high rate as soon as e is raised to the infinity the power and thus leads towards a very large number, so us conclude the e elevated to the infinity of power is infinity.

Now think about when e is increased to the strength of an unfavorable infinity, then

⇒ e-∞

⇒ ( 2.71…)-∞

⇒ 1/ e∞ or 1/ (2.71…)∞

⇒ 1/ ∞

**⇒ 0**

That’s when e is raised to the negative infinity power, that leads towards a very tiny number and also thus often tends to zero.

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