hey there,

two question, i have no idea how to do them

http://img88.imageshack.us/img88/9550/limitscx8.th.jpg

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

thanks

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- Apr 3rd 2008, 06:41 PMchoustaDefinition of limits
hey there,

two question, i have no idea how to do them

http://img88.imageshack.us/img88/9550/limitscx8.th.jpg

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

thanks - Apr 4th 2008, 06:02 AMCaptainBlack
(I assume both $\displaystyle \varepsilon$ and $\displaystyle k$ are supposed to be $\displaystyle >0$)

$\displaystyle \left| \frac{4x+5}{9x+6}-\frac{4}{9}\right|=\left|\frac{36x+45-36x-24}{9(9x+6)}\right|$ $\displaystyle

=\left|\frac{7}{27x+18}\right|<\left| \frac{7}{27x}\right|<\frac{7|\varepsilon|}{27|k|}

$

RonL