Question

is this true or false: If f is undefined at x = c, then the limit of f(x) as x -> c does not exist

Answer 1

Hint: Think of removable discontinuities.

Answer 2

so false?

Answer 3

yes it's false because a limit exists at a point where there is a "hole" even though the function doesn't exist there

Answer 4

thanks!

Answer 5

yw