Answer to Question #55710 in Calculus for JOSEPH

Question

3 One of the following is not true

A. Every rational function is continuous everywhere except at the points where the denominator vanishes.
B. The function y =1/x have an infinite discontinuity at x = 0.

C. The function y =cos1/x is undefined at x = 0.

D. The function y = cos1/x is defined and possesses a limit at x = 0.

4. One of the following is false

A. Every polynomial of any degree is continuous for all x.

B, Every polynomial of any degree is discontinuous for all x.

C. Every rational function is continuous everywhere except at the points where the denominator vanishes
D. The function y = 1/x have an infinite discontinuity at x = 0.