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Examine the continuity of the following functions at indicated points. f(x)={((x^2-1)/(x-1)ifxne1 at x=1),(2if x=1):} |
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Answer» Solution :`F(x)=(x^2-1)/(x-1)` `lim_(xto1)f(x)=lim_(xto1)(x^2-1)/(x-1)=lim_(xto1)(x+1)=2` `f(1)=2` Hence `lim_(xto1)f(x)=f(1)` and so f(x) is CONTINUOUS at x=1 |
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