Find the limit (if it exists). (If an answer does not exist, enter DNE.)
lim
x→4 f(x),
This looks like a piecewise function
where f(x) =
x^2 + 5, x ≠ 4
4, x = 4

Question

Find the limit (if it exists). (If an answer does not exist, enter DNE.)
lim 
x→4  f(x),
 This looks like a piecewise function
where f(x) = 
x^2 + 5,    	x ≠ 4
4,    	x = 4

anonymous · Answer

Somebody please help?? I'm not sure how to do this

anonymous · Answer

Can I just plug 4 into it? but I see that it does not equal 4...

hartnn · Answer

yes, just plug in x=4 , 
you can do that because you get a finite answer and no indeterminate form

hartnn · Answer

if that limit does not =4 
then it just implies that the limit does NOT exist at x=4

anonymous · Answer

sooooooo... the first part says it does not equal 4.. but if i try graphing 4^2+5 I get an error on my calc

anonymous · Answer

I'm not sure where to go here. Do I need to plug x^2+5 into calc?

hartnn · Answer

no need, graphing, just plug in x=4

since, lim x->4- f(x) = lim x->4+ f(x) DOES NOT = f(4)
the limit x-> DOES NOT EXIST!
thats it

hartnn · Answer

***limit x->4 DOES NOT EXIST!

anonymous · Answer

ohhh, i see it. I always get confused with these darn piecewise formed questions..

hartnn · Answer

you will get it, with some more practice :)

anonymous · Answer

Thank you!!!