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Show that the function defined by g(x)= ...

Show that the function defined by `g(x)= x - [x]` is discontinuous at all integral points. Here [x] denotes the greatest integer less than or equal to x.

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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.1
  1. Find the relationship between a and b so that the function f defined b...

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

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

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

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  5. Discuss the continuity of the following functions: f(x)= sin x + cos...

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  6. Discuss the continuity of the following functions: f(x)= sin x - co...

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  7. Discuss the continuity of the following functions: f(x)= sin x. cos...

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  8. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

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  9. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

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  10. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

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  11. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

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  12. Find all points of discontinuity of f, where f(x)= {((sin x)/(x)",","i...

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  13. Determine if f defined by f(x) = {(x^(2)"sin" (1)/(x)",","if" x ne 0),...

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  14. Examine the continuity of f, where f is defined by f(x)= {(sin x- cos ...

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  15. Find the values of k so that the function f is continuous at the indic...

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  16. Find the values of k so that the function f is continuous at the indic...

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  17. Find the values of k so that the function f is continuous at the indic...

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  18. Find the values of k so that the function f is continuous at the indic...

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  19. Find the values of a and b such that the function defined by f(x)= {(5...

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  20. Show that the function defined by f(x)= cos(x^(2)) is a continuous fun...

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