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**Hi everyone !**

I got the weird idea of revisiting my old math books from 20 years ago

and I got stuck on an problem that is probably super easy for most of you.

It's from the chapter where we learn about how to solve limits of the form

[tex]0^0, \infty^0, 1^\infty[/tex]

by transforming an equation like this :

[tex]\lim_{x\rightarrow a} y = f(x)^{g(x)} [/tex]

into this :

[tex]\lim_{x\rightarrow a} \ln y = g(x) \times \ln f(x) [/tex]

etc.

**The problem statement, with answer from the book :**

[tex]\lim_{x\rightarrow0} \left[(\tan x)/x\right]^{1/x^2} = e^{1/3}[/tex]

**The attempt at a solution**

It's the last problem of a serie of 50 and I got all the others right !!!

I really tried by myself, its true !

Anyone can help me on how to find the answer ?

**Thanks !**