Limits of Composite Functions

Rarely Tested

If $$\lim_{x \to a} g(x) = b$$ and $$f$$ is continuous at $$b$$:

$$\lim_{x \to a} f(g(x)) = f\left(\lim_{x \to a} g(x)\right) = f(b)$$

Requires continuity of $$f$$ at the limit point.

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.