Understanding Undefined Limits: The Truth About x=0 and Infinity

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This question doesn't apply to any question I am working on, I am just trying to jog my memory.

If we are evaluating a limit and get the limit as x approaches 0 is 35/0 (for example!), the limit is still undefined correct? For some reason my mind is telling me it represents infinity... but I don't think this is right. lol.
 
lol btw, title was supposed to read "SIMPLE limit question." :)
 
the limit is [tex]\infty[/tex], because you never actually hit 0. btw, are you m or f?
 
Thanks for the help on 2 of my questions today, btw.
 
Limit question

Find the coordinates of the point on the curve f(x)=3x^2-4x, where the tangent is parallel to the line y=8x.


Ok i know the slope of the tangent is 8.

and i know the formula is m=[f(a+h)-f(a)]/h

i need a hint please