3. Demonstrate that the following functions are not continuous as indicated: (a) f x sin 1...

3. Demonstrate that the following functions are not continuous as indicated:

(a) f ðxÞ ¼

sin 1 x ; x00;

0; x ¼ 0; is not continuous at x ¼ 0:



(b) gðyÞ ¼

1; xb3;

1; x < 3, is not continuous at y ¼ 3: