Question

true or false: If f ( c )= L, then lim x->c f(x)= L

Answer 1

false

Answer 2

the value can exist while the limit does not

Answer 3

does that work vice versa too? as in the limit exists but the value doesn't?

Answer 4

sure

Answer 5

that is in fact the most common
a simple example would be
\[\lim_{x\to 2}\frac{x^2-4}{x-2}=4\] but the function evaluated at 2 does not exist

Answer 6

thank you