1.4 Continuity and One-Sided LimitsThere are several different definitions involving continuity. The basic definition involving continuity is that of continuity at a point (continuity at x = c). One of the questions on the test for this chapter is to write the definition of continuity at x=c.Def: The function f is continuous at x = c iff all 3 of the following are true: (i). (29fc exists; (ii). (29limcfx→ exists;(iii). (29limcfx→ = (29fEx: Determine if (29,336,3xxfxxx-≠=-= is continuous at c = 3. (Note that 3 is where the domain splits.) Use the definition of continuity at a point (continuity at x = c): (i). (29(2936fcf (ii). (29(2339limlimlim363xcxxxfxxx→→→-==+=-(iii). is (29limcfx→ = (29fcxxc29==29x?29==2x?xxx29.