Use the graph of to sketch the graph of a. y = f(-x) b. y = -f(x) x 4 2 2 43211y

MA1024: Calculus IV 1/9 Contents Limits and Continuity in higher dimensions (Section 14.2) MA1024: Calculus IV 2/9 Recall that in single variable calculus: If lim ▯ f(x) = lim + f(x) = L then we say that lim f(x) = L: x!a x!a x! Now: If (x ;0 )0is in the interior of the domain of f, then (x;y) can approach to (x ;y ) from any direction. The limit must be the same 0 0 whatever direction of approach we take.