Question

Find value(s) of parameter c (if exists) that make f continuous everywhere.

Answer 1

\(\Large f(x) = \frac{2}{x + c}\)

I think there is no parameter that can make f continuous everywhere. Right?

Answer 2

seems like you can always solve \(x+c=0\) no matter what \(c\) is

Answer 3

No roots exist?
But, what satellite73 said is true.

Answer 4

may possible bad idea but what is in case when c=-x => the fraction is undefined

Answer 5

In this case, it would be undefined, but if more information was stated, then it wouldn't be based on the values given.

Answer 6

Thanks :)