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Show that fx) = x-|x|, x in R is continu...

Show that `fx) = x-|x|, x in R` is continuous at x=0

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Examine if sin |x| is a continuous function.

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  2. Is the function defined by f(x) = x^2-sinx+5 continuous at x=pi

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  3. Show that fx) = x-|x|, x in R is continuous at x=0

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  4. Find all points of discontinuity of f, where f is defined by : f(x)={(...

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  5. Find all points of discontinuity of f, where f is defined by : f(x)={(...

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  6. Find all points of discontinuity of f, where f is defined by : f(x)={(...

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  7. Find all the points of discontinuity of f, where f is defined by f(x...

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  8. Find all points of discontinuity of f, where f is defined by : f(x)={(...

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  9. Find all points of discontinuity of f, where f is defined by: f(x)={(x...

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  10. Discuss the continuity of the function defined by: {:{(x+5,ifxle1),(...

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  11. Is the function f defined by f(x)={(x,,,,if x le 1),(5,,,,if x>1):} co...

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  12. Show that the function: {:{(x^3+3,ifxne0),(1,ifx=0):} is not continu...

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  13. Discuss the continuity of the function f defined by f(x) = 1/x, x ne 0

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  14. Discuss the continuity of the function f given by: f(x)={(x,,,,if x ge...

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  15. Discuss the continuity of the function defined by: f(x)={(x+2,,,,if x ...

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  16. Discuss the continuity of the function: f(x) = {:{(1+x^2,0lexle1),(2...

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  17. Examine the continuity of the function f(x) = {:{(x+1,xle2),(2x-1,x>2)...

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  18. Discuss the continuity of the function f(x) at x = 5, if f(x) = {{:(...

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  19. Discuss the continuity of the function f(x) = {{:((|x - 2|)/(2 - x)"...

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  20. Discuss the continuity of the function f(x) = {{:((|x - 2|)/(2 - x)"...

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