Euler’s Number ‘e’ is a numerical continuous used in mathematical calculations and also its value is 2.718281828459045…so on. As with pi(π), the is likewise an irrational number.

You are watching: E to the power of infinity

⇒ e∞

⇒ ( 2.71…)∞

As we know a consistent number is multiply by infinity time is infinity. It suggests that e rises at a really high rate once e is increased to the infinity the power and thus leads towards a very big number, so us conclude the e elevated to the infinity of strength is infinity.

Now consider when e is increased to the power of an unfavorable infinity, then

⇒ e-∞

⇒ ( 2.71…)-∞

⇒ 1/ e∞ or 1/ (2.71…)∞

⇒ 1/ ∞

⇒ 0

That’s as soon as e is raised to the an adverse infinity power, it leads toward a very little number and thus has tendency to zero.

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