Euler's Number

Calculus Level 2

Which of the following is correct for

lim ⁡ x → ∞ e π 0 2 x ? \huge \lim_{x \to \infty} e^{\pi^{0^{2 ^{x}}}}?

It is an irrational number It is undefined It is a rational number

Nazmus Sakib by Nazmus sakib , 24, Bangladesh

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1 solution

Edwin Gray
Sep 5, 2018

((0^2)^x) = 0 for all x, and pi^0 = 1. so the expression reduces to e, which is irrational. Ed Gray

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