Is f continuous at x = 0?
A)Yes
B)No

Question

Is f continuous at x = 0? 
A)Yes 
B)No

Quizplus · Accepted Answer

To determine if f is continuous at x=0, we need to check if the limit of f(x) as x approaches 0 from both the left and the right sides is equal to f(0). Let's evaluate both limits:

Limit as x approaches 0 from the left: 
lim(x->0-) f(x) = lim(x->0-) (-2x) = 0

Limit as x approaches 0 from the right: 
lim(x->0+) f(x) = lim(x->0+) (3x) = 0

Since lim(x->0-) f(x) is not equal to lim(x->0+) f(x), f is not continuous at x=0. The correct choice is B.

Is F Continuous at X = 0