Question

Please help!!

http://prntscr.com/3g6fnq

Answer 1

I'd just graph it, and check for continuity

Answer 2

The first half of this piecewise-defined function is

1
----. Noticing that this changes over to the right half of this pw-defined function at
2-x x=a=2, evaluate the left half there. Turns out that you can't!! (Why?)

This alone is enough information to lead us to conclude that the function is not continuous at x=a=2.

But if you like, evaluate the second half of this pw-defined function, 3, at x=a=2. Result? 3.

Does positive infinity (on the left) equal 3 on the right?

What is your conclusion regarding the continuity of this function at x=a=2, or lack of it?

Answer 3

@mathmale Would it be C. f(2) does not exist?