Sketch the graph of : the limit of f of x as it goes to 1 from the right side is 2. the limit of f of x as it goes to 1 from the left is -1. f of 1 is undefined. & is the function continuous in the interval [-5,5]? I just need help in the "is the function continuous in the interval [-5,5]?" part.

Question

Sketch the graph of : the limit of f of x as it goes to 1 from the right side is 2. the limit of f of x as it goes to 1 from the left is -1. f of 1 is undefined.  & is the function continuous in the interval [-5,5]? I just need help in the "is the function continuous in the interval [-5,5]?" part.

debbieg · Answer

To be continuous at any x=a, the limits at a from the left and right must be equal, and must equal f(a). Do you think this function is continuous at x=1?