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Show that the function: {:{(x^3+3,ifxn...

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

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Discuss the continuity of the function defined by: {:{(x+5,ifxle1),(...

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

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

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

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

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

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

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

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

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

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

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  12. Discuss the continuity of the function : f(x) = {:{((|x-a|)/(x-a), w...

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  13. Discuss the continuity of the function : f(x) = {:{(-2,if 0 le x le ...

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  14. Differentiation of the function : f(x) = 4x+3

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  15. Show that the following function are continuous at x=0: f(x) = |x|cos(...

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  16. Show that the following function are continuous at x=0: f(x) = {:{(xco...

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  17. Test the continuity of the following functions at indicated points : ...

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  18. Examine the continuity of the function 'f' at x = 0, if f(x) ={(x sin(...

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  19. Examine the continuity of the function f(x) at x = 0, f(x) = {:{(|sinx...

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  20. Discuss the continuity of the function defined by f(x) = {{:((tan 2x...

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