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Show that the function f given by: f(x)=...

Show that the function f given by: `f(x)={(x^3,+,3,,if x ne 0),(1,,,,if x=0` is not continuous at x=0

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PSEB-CONTINUITY AND DIFFERENTIABILITY-Exercise
  1. Show that the function f given by: f(x)={(x^3,+,3,,if x ne 0),(1,,,,if...

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  2. Prove that the function f(x) = 5x-3, is contNuous at x=0, at x=-3 a...

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  3. Examine the continuity of the function f(x) = 2x^2 - 1 at x=3

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  4. Examine the following function for continuity: f(x) = x-5

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  5. Examine the following function for continuity: f(x) = 1/(x-5), x ne 5

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  6. Examine the following function for continuity: f(x) = (x^2 -25)/(x+5),...

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  7. Examine the following function for continuity: f(x) = |x-5|

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  8. Prove that the function f(x) = x^n, is continuous at x=n, where n is a...

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

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  10. Find the point (s) of discontinuity of f (x), if : f(x)= {(2x+3,if,x,l...

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

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

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

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

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

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

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

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  18. Discuss the continuity of the function f, where f is defined by: f(x)=...

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  19. Discuss the continuity of the function f, where f is defined by: f(x)=...

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  20. Find the relationship between a and b so that the function f defined b...

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  21. For what value of lambda is the function defined by f(x)={(lambda(x^2...

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