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Mila [183]
3 years ago
14

Limx→+∞​ (x-(lnx)^2) =?​

Mathematics
1 answer:
expeople1 [14]3 years ago
3 0

\lim_{x\to\infty}(x-\ln(x)^2) \\\lim_{x\to\infty}(x-2\ln(x)) \\\lim_{x\to\infty}\Big(x\Big(1-\dfrac{2\ln(x)}{x}\Big)\Big) \\\lim_{x\to\infty}x\cdot\lim_{x\to\infty}\Big(1-\dfrac{2\ln(x)}{x}\Big) \\\infty\cdot\Big(\lim_{x\to\infty}(1)-\lim_{x\to\infty}\Big(\dfrac{2\ln(x)}{x}\Big)\Big) \\\infty\cdot(1-2\lim_{x\to\infty}(1/x)) \\\infty\cdot(1-0) \\\infty\cdot1=\boxed{\infty}

Hope this helps.

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Hello

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4 0
3 years ago
The perimeter of the rectangle is 32 cm.
Vaselesa [24]

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7 0
4 years ago
Abc daycare wants to build a fence to enclose a rectangular playground. the area of the playground is 910 square feet. the fence
Tatiana [17]
Given that <span>the area of the playground is 910 square feet, let the length of the playground be x, then the width of the playground is given by \frac{910}{x}

</span>Given that <span>the fence along three of the sides costs $5 per foot and </span>the fence along the fourth side, which will be made of brick, costs $15 per foot. <span>Let the side with the brick fence be the side which measures x feet.
</span>
Then the cost for fencing the entire playground is given by

C=5\left( \frac{910}{x} \right)+5x+5\left( \frac{910}{x} \right)+15x= \frac{9100}{x} +20x

For, minimum cost,

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3 0
3 years ago
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