(a)
(a)
(b)
Example 26 __
Is continuous at x = −1?
SOLUTION: Since f is a polynomial, it is continuous everywhere, including, of
course, at x = −1.
Example 27 __
Is continuous (a) at x = 3; (b) at x = 0?
SOLUTION: This function is continuous except where the denominator equals
0 (where g has an infinite discontinuity). It is not continuous at x = 3, but is
continuous at x = 0.
Example 28 __
Is continuous
at x = 2; (b) at x = 3?SOLUTIONS:
h(x) has an infinite discontinuity at x = 2; this discontinuity is not removable.
h(x) is continuous at x = 3 and at every other point different from 2.
See Figure N2–10.