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Differential Calculus

Cool goIITian

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11 Mar 2010 19:52:38 IST

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sheenu

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Joined: 23 Feb 2010

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11 Mar 2010 19:56:33 IST

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lim x tends to infinity[ x+5/x-1]whole raised to power x

sheenu

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12 Mar 2010 09:26:54 IST

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no one...? its from objective RD SHARMA.

ThIrStY of IIT

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12 Mar 2010 09:38:00 IST

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after simply we get in both denominator and neumarator we get x^5 this is only the highest power. so that the answer is 1.is it right.

Deepak Aggarwal

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12 Mar 2010 10:35:17 IST

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lim x-> ∞ ((x + 5) / (x - 1))^x

= lim x ->∞ ( 1 + (6 / x - 1) )^x

= e^{lim x ->∞ (6x / x - 1)}

= e⁶

सुपर मान

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12 Mar 2010 10:38:59 IST

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deepak is rite its e^6

sheenu

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13 Mar 2010 09:25:41 IST

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yes the answer is e6

edison

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31 Jan 2011 16:33:14 IST

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Lim x-> ∞ [ (x + 5) / (x - 1) ]^x

= Lim x ->∞ [ ( x -1 + 6) / (x - 1) ]^x

= Lim x ->∞ [ 1 + ( 6 / (x - 1) ) ]^x

= e^{lim x ->∞ (6x / x - 1)}

= e⁶

Mayank Sharma

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Joined: 9 Nov 2008

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20 Feb 2011 18:08:27 IST

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simplest ques of limits i've seen in recent days

Akshat Shenoy

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28 Feb 2011 09:00:14 IST

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e^6 \

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