maryammo9
maryammo9 maryammo9
  • 11-12-2021
  • Mathematics
contestada

Derivative help please

Please dont comment if you dont know,
Thank u

Derivative help please Please dont comment if you dont know Thank u class=

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loneguy
loneguy loneguy
  • 11-12-2021

[tex]y = x^{\tfrac 1{\ln x}}\\\\\implies \ln y = \ln \left( x^{\tfrac 1{\ln x}} \right)\\\\\implies \ln y = \dfrac{1}{\ln x} \cdot \ln x\\\\\implies \ln y = 1\\\\\implies y =e\\\\\\\text{Now,}\\\\\ \lim \limits_{x \to \infty} x^{\tfrac 1{\ln x}}=\lim \limits_{x \to \infty} y = \lim \limits_{x \to \infty} e = e[/tex]

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