Question: 1. Find, either directly or using theorems from class or the book with full explanations, (2) lim x(27) (22) lim (x3)2 x-0+ (2zi) lim Vx

1. Find, either directly or using theorems from class or the book with full explanations, (2) lim x(27) (22) lim (x3)2 x-0+ (2zi) lim Vx . x-+ +00 (Vac + 9 - Vx+4 2. Prove that if f, g : (a, b) + (0, co) are functions that are twice- differentiable, increasing and convex on (a, b), then f . g is convex on (a, b)

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