Use Theorems 14 to show that the function is continuous. (x) = cos(x 2 ) THEOREM 1 Basic Laws of Continuity If f and g

Use Theorems 1–4 to show that the function is continuous.

ƒ(x) = cos(x²)

THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous at x = C: (i) f + g and f-g (iii) fg (ii) kf for any constant k (iv) f/g if g(c) #0