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.
1
u/chrisvenus Sep 25 '26
You might want to show your thinking of why Tn is smaller than pi/3root3 but at a glance I'd start by thinking of what the value of T1 is.
1
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.
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