Question

Найти предел функции.

Answer 1

$limlimits_{Delta x to 0}frac{(1+Delta x)^5-1}{Delta x}=Big [; frac{(1+0)^5-1}{0}=; frac{1-1}{0}=frac{0}{0}; to ; Lopital; Big ]=\\=limlimits_{Delta x to 0}frac{5cdot (1+Delta x)^4-0}{1}=frac{5cdot 1^4}{1}=5$