1.

Examine the continuity of the following functions at indicated points.f(x)={(1/(e^(1/2)-1)ifxgt0 at x=0),(0 if xle0):}

Answer»

Solution :F(0)=0
R.H.L.=`lim_(xto0+)f(x)=lim_(hto0)(0+h)`
`=lim_(hto0)1/(E^(1/x)-1)=0`
`L.H.L.=lim_(xto0)f(x)=lim_(hto0)f(0-h)`
`=lim_(hto0)0=0`


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