What is [math]\displaystyle\lim_{x\to 0}\frac{x-\tan x }{x-\sin x }[/math]?
Why does [math]\displaystyle\lim_{x\to 0}\frac{\sin(x)}{x}=1[/math] but [math]\displaystyle\lim_{x\to 0}\frac{\sin(\frac{1}{x})}{\frac{1}{x}}=0[/math]?
מה זה [math]\displaystyle\lim_{x\to 0}\frac{x-\tan x }{x-\sin x }[/math]?
מדוע [math]\displaystyle\lim_{x\to 0}\frac{\sin(x)}{x}=1[/math] אבל [math]\displaystyle\lim_{x\to 0}\frac{ \sin(\frac{1}{x})}{\frac{1}{x}}=0[/math]?