1) Suppose that a function f(x) is defined forall real values of x, except x =xo. Can anything be said about lim x → x 0 f (x ) ?
Give reasons for your answer.
2) If x4 ≤ f(x) ≤x2 for x in [-1,1] andx2 ≤ f(x) ≤x4 for x < -1 and x >1, at what points c do you automatically know lim x → c f( x ) ? What can you say about the value of the limits at thesepoints (x = +/-1) and at x = 0?
3)Explain why the following statement is true orfalse:
If g is continuous and increasing on its entire domain,then g(x2) >g(x1) when x1 <x2
