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

sundararaj

Sahil Parashar

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

Siddharth rastogi

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

Bipin Dubey

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

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

limit doesnt exist