Question

Suppose g(x) = { 1 / (x-2) if x < 1
{2x - 3 if x >/= 1
The best description concerning the continuity of g(x) is that the function
A.) is continuous
B.) has a jump discontuity
C.) has an infinite discontuity
D.) has a removable discontuity
E.) None of the above

Answer 1

I choose E. None of the above.

Answer 2

really?
lim(x→1^-) = -1
lim(x→1⁺) = -1
so g(x) is continuous at x = 1

Unfortunately, that pesky 1/(x-2) is a problem at x=2
So C is correct

Answer 3

Thanks you