Mathematical+analysis+zorich+solutions -

(Zorich, Chapter 2, Problem 10)

(Zorich, Chapter 7, Problem 10)

Using the product rule, we have $f'(x) = 2x \sin x + x^2 \cos x$. mathematical+analysis+zorich+solutions

As $x$ approaches 0, $f(g(x))$ approaches 1. (Zorich, Chapter 2, Problem 10) (Zorich, Chapter 7,