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tia_tia [17]
3 years ago
9

What is ¼ of ½? please help me i dont know this

Mathematics
1 answer:
Helen [10]3 years ago
4 0

Answer : 1/8

Explanation :

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What is the lim as x approaches pi [integral 1+tan t from pi to x]/(pi sin x)
MissTica

Apply l'Hopital's rule:

\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}

where

\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)

follows from the fundamental theorem of calculus.

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creativ13 [48]
Sum of interior of any polygon = (n - 2) x 180
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1620</span>
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