1.4 Continuous functions

1.

(a) $-1$ (b) $1$ (c) 0 (d) 0 (e) $${\frac{1}{2}}$$ (f) does not exist (g) does not exist

2.

(a) continous (b) removable discontinuity (c) continous (d) essential discontinuity

3.

(a) $f(1) = 2$ (b) $f(1) = 3$

4.

$${x = \frac{13}{16}}$$