1. ## One Sided Limits

Sketch the graph of the given function and find the indicated limits if it exists
1) $f(x)=x^2$ if $x \leq 2$ , $f(x)=8-2x$ , if $x > 2$
2) $f(x)=x^2-1$ if $x < 2$, $f(x)=2-x$if $x\geq 2$

Attempt:
I have sketched the graph and determined that
1)The limits exists
2)Limits doesn't exist

Am i correct or no ?

Thank you

2. Originally Posted by mj.alawami
Sketch the graph of the given function and find the indicated limits if it exists
1) $f(x)=x^2$ if $x \leq 2$ , $f(x)=8-2x$ , if $x > 2$
2) $f(x)=x^2-1$ if $x < 2$, $f(x)=2-x$if $x\geq 2$

Attempt:
I have sketched the graph and determined that
1)The limits exists
2)Limits doesn't exist

Am i correct or no ?

Thank you
If in each case you mean limit as x --> 2 then yes, you are correct.