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Prove that the function f(x) = x^n, is c...

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

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Examine the following function for continuity: f(x) = (x^2 -25)/(x+5),...

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

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

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

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  5. Find all the 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 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)={(x...

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

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

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

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

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  13. Disuss the continuity of the function f where f is defined by f(...

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

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

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

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  17. For what value of lambda is the function defined by f(x) = {:{lambda(x...

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  18. Show that the function defined by g(x) = x-[x] is discontinuous at al...

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

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  20. Discuss the continuity of the following function: f(x) = sinx + cosx

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