Section 5.3 The Limit Laws: Composition Limit Law

[markbarsamian]

Section 5.3 The Limit Laws: Composition Limit Law

The equation x = the limit as x approaches a of g(x) is bad.

Perhaps write the composition law more clearly as follows:

If L = the limit as x approaches a, of g(x), and if f(x) is continuous at x = L, then the limit, as x approaches a, of f(g(x)) is f(the limit, as x approaches a, of g(x)).

That is, the limit, as x approaches a, of f(g(x)) is f(L)