7.1 Uniform Convergence of Sequences 2.

(a) 2.

(b) 4.

(c) 7r/2.

4.

(a) Use Exercise 3c.

599 6.

(a) This is different from Theorem 7.9 because E is not necessarily an interval.

7. Modify the proof of Example 4.21 to show that (1 + x/n)n i eX as n ----> 00. To prove this is a uniform limit, choose N so large that [a, b] C [-N, N] and find the maximum of eX - (1 + x/N)N on [a, b].