Question

Limits

Answer 1

let me upload the pic jst a sec

Answer 2

Both 2 and 3 i dont understand

Answer 3

regarding 2, I dont understand what it means by pi/2^+

Answer 4

same thing with pi/2^-

Answer 5

If you look up any tangent graph, you will see that it approaches +inf at x just below pi/2, and approaches -inf at x just above pi/2.
These are the respective limits of tan(x) at x=pi/2- and pi/2+.
The definition of a limit if it exists, is that if lim x->pi/2- of tan(x) \(equals\) lim x->pi/2+ of tan(x), than lim x->pi/2 of tan(x) = the value of the limits.
If limx->pi/2+ does not equal to lim x->pi/2-, then the limit does not exist.