Question

обчислити границі $lim_{x to 0} (1+(- 6)^{6} x)^{ frac{1}{x} }$

Answer 1

$lim_{x to 0} (1+(-6)^6x)^{tfrac{1}{x}}\cfrac{1}{x}=t\lim_{t toinfty}left(1+cfrac{6^6}{t}right)^{cfrac{t}{6^6} cdot 6^6}=e^{6^6}$