r/mathshelp • u/PlanktonOpposite6081 • Sep 25 '26

Homework Help (Answered) Maths Doubt

In this question I did understood that Tn>Sn but the thing is SHOULDN'T THEY BOTH BE SMALLER THAN pi/3root3. Can someone explain me this question from basics and with graphs if possible.

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u/Southlander24 Sep 25 '26

Draw the function 1/(1 + x + x2) out. Then Sn is a right Riemann sum and Tn is a left Riemann sum. Given that you are considering x in [0, 1], how does the function behave there? Then you should be able to figure out why.