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
⇒ ( 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
⇒ ( 2.71…)-∞
⇒ 1/ e∞ or 1/ (2.71…)∞
⇒ 1/ ∞
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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