I got this Limit problem i cannot solve, i would really appreciate if someone can help me to figure it out, thanks!
Lim (x/1cos^2(x/2))
x> 0
Thanks again!

I got this Limit problem i cannot solve, i would really appreciate if someone can help me to figure it out, thanks!
Lim (x/1cos^2(x/2))
x> 0
Thanks again!
Since you cannot solve it i take that to mean that you have tried at least once? what approach did you use?
Yes indeed, i´ve tried not just once but many times, i tried using substitutions, identities, but non of them seems to work out.
Yes, i didnt notice that mistake, and it is x/(1cos^2(x/2)), thank you!.
I know i can simplify it with using many identities, but i have tried many times and in many ways and still cant solve it.
Also, one of the conditions my teacher gave me was to not use L'Hôpital's rule. I really would appreciate if you can help me!
The x part seems trivial, so we're looking at the 1cos²(x/2).
Does 1cos² remind you of anything?
And the x/2 argument makes me think of halfangle formulas.
Not that these two ideas must be resolved in the same step.
Hopefully it should start coming together in your mind.
Okay, then do the worst thing possible ... throw it into a spreadsheet, and see how it behaves. It approaches infinity, of course, but it does so in a particular way. This gives the answer, but is probably not the "work" your teacher wants to see.
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