1.

Examine the continuity of the following functions at indicated points.f(x)={((e^(1/x)-1)/(e^(1/x)+1)if xne0 at x=0),(0 if x=0):}

Answer»

Solution :f(0)=0
`L.H.L. =lim_(hto0)(e^(-1/h)-1)/(e^(-1/h)+1)=-1`
`R.H.L.=lim_(hto0)(e^(1/h)-1)/(e^(1/h)+1)`
`=lim_(hto0)(1-e^(1/h))/(1+e^(1/h))=1`
Thus `L.H.L NE R.H.L. ne f(0)`
HENCE f(X) is discontinuous at the origin.


Discussion

No Comment Found

Related InterviewSolutions