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Find the point at which the function f(x...

Find the point at which the function f(x) = [x] is not continuous in (-1,4). ([x] is the largest function).

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Examine the function f(x) = 2x^2-5 for its continuity at the point x =...

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  2. Is the function defined by f(x) = |x|, a continuous function?

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  3. Find the point at which the function f(x) = [x] is not continuous in (...

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

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  5. Examine the following functions for continuity: f(x) = x^3 + x^2-1

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

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

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

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  9. Prove that the following functions are continuous at all points of the...

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  10. Prove that the following functions are continuous at all points of the...

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  11. Prove that the following functions are continuous at all points of the...

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

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  13. Discuss the continuity of the following function: f(x) = sinx cdot cos...

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  14. Discuss the continuity of the following function: f(x) = sinx cdot cos...

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  15. Discuss the continuity of the following functions: f(x) = (sinx)/(co...

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  16. Prove that f(x) = |sin x| is continous at all point of its domnin.

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  17. Examine if sin |x| is a continuous function.

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

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

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

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