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Prove that the following functions are c...

Prove that the following functions are continuous at all points of their domains: `f(x) = e^x+e^-x`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Examine the following function for continuity: f(x) = |x-5|

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Discuss the continuity of the function defined by: {:{(x+5,ifxle1),(...

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

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