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Examine the continuity of the following functions at indicated points.f(x)={(frac{[x]}{x}ifxne0 at x=0),(0 if x=0):} |
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Answer» SOLUTION :f(0)=0 L.H.L `=lim_(hto0)|-h|/(-h)` `=lim_(hto0)h/-h=-1` `R.H.L==lim_(hto0)|h|/h` `=lim_(hto0)h/h=1` As L.H.L. ne R.H.L. ne f(0)` `therefore` f is DISCONTINUOUS at x=0 |
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