1. ## Definition of limits

hey there,

two question, i have no idea how to do them

[img=http://img88.imageshack.us/img88/9550/limitscx8.th.jpg]

thanks

2. Originally Posted by chousta
hey there,

two question, i have no idea how to do them

[img=http://img88.imageshack.us/img88/9550/limitscx8.th.jpg]

thanks
(I assume both $\varepsilon$ and $k$ are supposed to be $>0$)

$\left| \frac{4x+5}{9x+6}-\frac{4}{9}\right|=\left|\frac{36x+45-36x-24}{9(9x+6)}\right|$ $
=\left|\frac{7}{27x+18}\right|<\left| \frac{7}{27x}\right|<\frac{7|\varepsilon|}{27|k|}
$

RonL