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junior college 2 | H3 Maths
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Suhaina
Suhaina

junior college 2 chevron_right H3 Maths chevron_right Singapore

I have to find the limit as stated in the first line and my working is below but I'm unsure of how to continue

Date Posted: 5 years ago
Views: 497
Eric Nicholas K
Eric Nicholas K
5 years ago
I could not figure out from the first two lines how tan2 t managed to become t (1 - cos 2t) / 2.

Maybe I missed out something.

What I would do is to rewrite tan2 t as sec2 t - 1 because sec2 can be easily integrated.
Suhaina
Suhaina
5 years ago
sorry for the bad handwriting but the first line is integral of tsin^2t
Eric Nicholas K
Eric Nicholas K
5 years ago
Oh, my fault. Will submit a response only if I can solve it by tomorrow's 2 am.

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
Here are my workings for this question, which are probably wrong.

Perhaps my brain is fried. Because my signages went slightly different from your workings in lines 5 to 7 and thereafter.
Suhaina
Suhaina
5 years ago
your signage are correct I'm the one who made a mistake! thanks for the clarification
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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
My signages went a bit different from here.
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Timothy Wong
Timothy Wong's answer
8 answers (Tutor Details)
A lot easier to use L’Hôpital’s rule first (fraction is 0 over 0) then after that rely on the fact that if you differentiate an integral, you get the integrand back..