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Differential Calculus

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16 Dec 2011 18:13:50 IST

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Evaluate lmt x tends to 2 x^(1/(2-x))

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Evaluate lmt x tends to 2 x^(1/(2-x))

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Sahil Parashar

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17 Dec 2011 19:47:01 IST

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Left hand limit is not equal to right hand limit then the limit does not exist

Siddharth rastogi

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17 Dec 2011 21:56:56 IST

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$lim_(x->2^-) x^(1\/(2-x)) = infinity\nlim_(x->2^+) x^(1\/(2-x)) = 0$ u can also see it graphically ( seeing the graph of a^x : where a>1)

Bipin Dubey

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22 Jan 2012 22:35:02 IST

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LHL is in the form 2(-infinity) which tends to 0

RHL is in the form 2^(infinity) which tends to infinity

Hence the limit doesn't exist

sairajgopal

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30 Jan 2012 19:44:06 IST

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let x^(1/(2-x)) be t

apply log on both sides

apply l.H rule

we get -1/2 =logt

therefore t=e^(-1/2)

chaman kirty

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30 Jan 2012 19:49:30 IST

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limit doesnt exist

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