Limit of Composite Function/Corollary
Jump to navigation Jump to search
Corollary to Limit of Composite Function
Let $I$ and $J$ be real intervals.
- $(1): \quad g: I \to J$ be a real function which is continuous on $I$
- $(2): \quad f: J \to \R$ be a real function which is continuous on $J$.
This follows directly and trivially from:
- the definition of continuity at a point
- the definition of continuity on an interval
- Limit of Composite Function.