Let f (x) be an odd function of (- ∞, 0) ∪ (0, + ∞), and it is a decreasing function in the interval (- ∞, 0) (1) Try to compare the size of F (- 2) and - f (3) (2) if Mn < 0 and M + n < 0, prove that f (m) + F (n) > 0

Let f (x) be an odd function of (- ∞, 0) ∪ (0, + ∞), and it is a decreasing function in the interval (- ∞, 0) (1) Try to compare the size of F (- 2) and - f (3) (2) if Mn < 0 and M + n < 0, prove that f (m) + F (n) > 0

(1) F (x) + F (- x) = 0  - f (3) = f (- 3) ∵ f (x) in (- ∞, 0) ↘ If M ＜ - n ＜ 0, f (m) ＞ f (- n) ‖ f (m) + F (n) = f (m) - f (- n) ＞ 0, if - n ＞ 0, then n ＜ - M ＜ 0

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