lim-x-0-cos-x-1-x-please-i-need-your-help-

Question Number 105868 by pticantor last updated on 01/Aug/20

l i \underset{x \to 0}{m c o s} (\frac{\sqrt{x} - 1}{x}) = ? ? ? ? ?

p l e a s e i n e e d y o u r h e l p

Commented by Dwaipayan Shikari last updated on 01/Aug/20

- 1 ⩽ f (x) ⩽ 1

Answered by Her_Majesty last updated on 01/Aug/20

\frac{\sqrt{x} - 1}{x} = \frac{1}{\sqrt{x}} - \frac{1}{x}; x \to 0^{+}

l e t x = \frac{1}{t}

\Rightarrow

\sqrt{t} - t; t \to + \infty

\underset{t \to + \infty}{l i m} \sqrt{t} - t {d o e s n}^{'} t e x i s t \Rightarrow t h e l i m i t y o u

a s k e d f o r {d o e s n}^{'} t e x i s t t o o