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Show that f(x)={(|x-a|)/(x-a),\ \ \ w h ...

Show that `f(x)={(|x-a|)/(x-a),\ \ \ w h e n\ x!=a1,\ \ \ w h e n\ x=a` is discontinuous at `x=a`

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`f(x)= frac{x-a}{x-a}, x>a `
` frac{a-x}{x-a}, x lt a `
`1,` when `x =a`
`Rightarrow f(x)= 1,` when `x>a `
` -1`, w h e n `x lt a `
` 1,` w h e n `x=a`
...
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RD SHARMA-CONTINUITY-Solved Examples And Exercises
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  10. f(x)={(2|x|+x^2)/x ,\ \ \ x!=0 ,\ \ \ and 0 at x=0 is continuous at ...

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  18. Discuss the continuity of f(x)={2x-1,\ \ \ x<0 2x+1,\ \ \ xgeq0 at ...

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  19. For what value of k is the function f(x)={(x^2-1)/(x-1),\ \ \ x!=1k ,\...

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  20. Determine the value of the constant k so that the function f(x)={(x...

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