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Is the function defined by f(x)={(x+5,,,...

Is the function defined by `f(x)={(x+5,,,,if x le 1),(x-5,,,,if x>1):}` a continuous function?

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PSEB-CONTINUITY AND DIFFERENTIABILITY-Exercise
  1. Find all points of discontinuity of f, where f is defined by : f(x)={(...

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

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

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

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

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

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

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

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

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

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  11. Discuss the continuity of the following function: f(x) = sinx - cosx

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

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

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  14. Find all points of discontinuity of f, where: f(x)={(sinx/x,,,, if x <...

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  15. Determine if f defined by : f(x)={(x^2sin(1/x),,,, if x ne0),(0,,,, if...

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  16. Examine the continuity of f, where f is defined by : f(x)={(sinx-cosx,...

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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 k so that the function f is continuous at the indic...

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

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