Question

lim(1+sinx)^1/x при x->0

Answer 1

Применил таблицу эквивалентности
$lim_{x to 0} (1+sinx)^ frac{1}{x}= lim_{x to 0} (1+x)^ frac{1}{x}= \ = lim_{t to infty}(1+ frac{1}{t})^t=e$