Limh- 02-3sin-6-h-cos-6-h-3h-3cosh-sinh-

The correct option is A 4/3 lim_h→ 02[√(3)sin(π/6+h) cos(π/6+h)/√(3)h(√(3)cosh sinh)] =lim _ h→ 0 2[√( 3 ) #160;/ 2 sin #160;(π #160;/ 6 ...

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Standard Limits to Remove Indeterminate Form

limh→ 02[√3si...

Question

$lim h \to 0 2 ⎡ ⎣ \frac{\sqrt{3} sin (\frac{π}{6} + h) - cos (\frac{π}{6} + h)}{\sqrt{3} h (\sqrt{3} cosh - sinh)} ⎤ ⎦ =$

\frac{2}{3}

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\frac{4}{3}

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- 2 \sqrt{3}

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- \frac{4}{3}

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Solution

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Similar questions

lim h \to 0 \frac{2 (\sqrt{3} sin (\frac{π}{6} + h) - cos (\frac{π}{6} + h))}{\sqrt{3} h (\sqrt{3} cos h - sin h)}

lim h \to 0 2 ⎧ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎩ \frac{\sqrt{3} sin (\frac{π}{6} + h) - cos (\frac{π}{6} + h)}{\sqrt{3} h (\sqrt{3} cos h - sin h)} ⎫ ⎪ ⎪ ⎪ ⎪ ⎬ ⎪ ⎪ ⎪ ⎪ ⎭

lim h \to 0 2 ⎧ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎩ \frac{\sqrt{3} sin (\frac{π}{6} + h) - cos (\frac{π}{6} + h)}{\sqrt{3} h (\sqrt{3} cos h - sin h)} ⎫ ⎪ ⎪ ⎪ ⎪ ⎬ ⎪ ⎪ ⎪ ⎪ ⎭

\underset{h \to 0}{\lim 2} \{\frac{\sqrt{3} \sin (π / 6 + h) - \cos (π / 6 + h)}{\sqrt{3} h (\sqrt{3} \cos h - \sin h)}\}

- 2 \sqrt{3}

H_{3} P O_{2}, H_{3} P O_{4}, H_{3} P O_{3}

H_{4} P_{2} O_{6}

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