Inspired by NunoGodinho. Let's do some calculus!

Calculus Level 4

lim ⁡ x → ∞ x 100 ln ⁡ x e x tan ⁡ − 1 ( sin ⁡ x + π 4 ) \large \lim_{x\to\infty} \dfrac{ x^{100} \ln x}{e^x \tan^{-1} \left( \sin x + \frac\pi 4 \right) }

Determine whether the limit above exists.

It does exist It does not exist

Jose Sacramento by Jose Sacramento , 66, Portugal

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