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Analysis of 20 12 Mathematics (Literature) 16 in the new college entrance examination.
F (x) = [(1+x 2)+sinx]/(x 2+1) =1+(2x+sinx)/(x 2+1), yes.

sinx/(x^2+ 1)<; = f(x)& lt; = 2+sinx/(x 2+1) [Note: the value on the left of inequality will change if a non-negative part is removed, such as (1+x 2)/(x+5) > =1(x+5), and a is used on the right.

Continue the transformation with-1/(x 2+ 1)

x^2+ 1>; = 1, 1/(x^2+ 1)<; = 1,- 1/(x^2+ 1)>; =- 1, obviously 2+sinx.

So there is-1