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(Solved): Show that |(1)/(a^(2)+1)-(1)/(b^(2)+1)|<=(3\sqrt(3))/(8)|a-b| for all real numbers a,b. ...



Show that

|(1)/(a^(2)+1)-(1)/(b^(2)+1)|<=(3\sqrt(3))/(8)|a-b|

for all real numbers

a,b

.

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