I am giving the following input to Ti-89 Titanium:(adsbygoogle = window.adsbygoogle || []).push({});

limit(S((2 x cos(100 x Pi x t)+2 x sin(10 x Pi x t))2 ,t,-t1,t1)/(2 x t1),t1,inf)

where S is the integral symbol, Pi is π = 3.14, x is the multiplication symbol and inf is the infinity symbol

The TI-89 answer is undef

If I do it by hand it is 4 and Wolfram Mathematica with the following input agrees:

Limit[Integrate[(2Sin[10Pit] + 2Cos[100Pit])2, t, -T, T}]/(2*T), T -> Infinity]

Do you see any errors in my TI89 input?

(I have made the same question in the Ti89 subreddit but it doesn't seem to be used by more than 5 people.)

Thank you!

Some more info:

For the integral alone the Ti89 gives:

-20 π T-10 sin(10 π T) cos(10 π T)+sin(100 π T) cos(100 π T))/((25 π)

whereas mathematica gives:

(400 π T - 10 Sin[20 π T] + Sin[200 π T])/(50 π) with the limit again 4 in Mathematica

If I limit the Ti-89 result with mathematica, it returns -2/5

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# Ti-89 Limit of Integral undefined BUT it is 4 both by hand and Mathematica

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