Hi. I'm just a little confused about something.
Here is the problem,
limit as x approaches 0, of tan(pi/4(cos(sin x^(1/3))
So it's simple, cube root of 0 is 0, and sin 0 is 0, cos of 0 is 1, and so pi/4*1=pi/4.
So the limit is tan(pi/4), which is 1.
They ask if the function is continuous at this point, x=0. According to my calculator, at x=0, f(x)=.999999999999999...
I'm just not sure what this means. Does the point x=0, y=1 exist for this function?