- #1
dobry_den
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Homework Statement
Solve the following limit:
[tex]\lim_{x \rightarrow 1}(1-x)\tan{\left(\frac{\pi x}{2}\right)}[/tex]
The Attempt at a Solution
I solved it using L'Hospital rule, it's equal to 2/pi, but is there any other way how to solve it? thanks a lot!
The same question would apply to
[tex]\lim_{x \rightarrow \frac{\pi}{3}}\left(\frac{\sin{\left(x-\frac{\pi}{3}\right)}}{1-2\cos{x}}\right)[/tex]
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