Question:
Continuous problems
1. Use the definition of ƒ(x) →∞ as x →∞ to show that ƒ(x) = x + 2 →∞ as x→∞
2. (a) Show that ƒ(x) = 3/x+2 tends to ¥ as x → -2+ .
(b) Show that ƒ(x) = 1/4-x tends to ∞ as x → 4-
3. Let ƒ(x) = { 4 when x<5 . Show that ƒ is not continuous at x = 5.
{ 0 when x>5