Nilai dari :

By Admin ReiPosted on October 28, 2022

1.) Lim x → π/6 cot x =
2.) Lim x → π/2 sec x =
3.) Lim x → π/6 cosec 2x =
4.) Lim x → π/6 cos 3x =

tolong bantu jawab ya:')

Nilai dari :

Penjelasan dengan langkah-langkah:

$1) : lim_{x - > frac{pi}{6} } : cot(x)$

$= cot( frac{pi}{6} )$

$= cot : {30}^{0}$

$= frac{1}{ tan : {30}^{0} }$

$= frac{1}{ frac{1}{3} sqrt{3} } = frac{3}{ sqrt{3} } = sqrt{3}$

.

$2)lim_{x - > frac{pi}{2} } sec(x)$

$= sec( frac{pi}{2} )$

$= sec( {90}^{0} )$

$= frac{1}{ cos( {90}^{0} ) }$

$= frac{1}{0} = infty$

Tdk terdefinisi

.

$3) : lim_{x - > frac{pi}{6} } : csc(2x)$

$= csc(2. frac{pi}{6} )$

$= csc( frac{pi}{3} )$

$= csc( {60}^{0} )$

$= frac{1}{ sin( {60}^{0} ) }$

$= frac{1}{ frac{1}{2} sqrt{3} } = frac{2}{ sqrt{3} } = frac{2}{3} sqrt{3}$

.

$4) : lim_{x - > frac{pi}{6} } cos(3x)$

$= cos(3. frac{pi}{6} )$

$= cos( frac{pi}{2} )$

$= cos( {90}^{0} )$

$= 0$

semoga membantu