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A function f is defined as f(x) = {{:(...

A function `f` is defined as
`f(x) = {{:((x^2 - x - 6)/(x^2- 2x - 3)"," ,x != 3),(5/3",", x = 3):}`
Prove that f is discontinous at `x = 3`.

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BETTER CHOICE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION II)(SHORT ANSWER TYPE QUESTIONS)
  1. Discuss the continuity of f(x) at x = 0 of f(x) = {{:(sqrt(1 + x)/(...

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  2. Discuss the continuity of the function f(x) at x = 5, if f(x) = {{:(...

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  3. A function f is defined as f(x) = {{:((x^2 - x - 6)/(x^2- 2x - 3)","...

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  4. Test the continuity of the function at x = 3, where f(x) = {{:((|x-3...

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  5. Discuss the continuity of the function f(x) = {{:((|x - 2|)/(2 - x)"...

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  6. Examine the continuity of f(x) = {{:((x)/(|x| )"," ,"if " x != 0),(0",...

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  7. If f(x) = {{:((x)/(|x| + 2x^2)"," ,x != 0),(k",", x = 0):} Prove tha...

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  8. Discuss the continuity of the function defined by f(x) = {{:((sin 3x...

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  9. Discuss the continuity of the function defined by f(x) = {{:((tan 2x...

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  10. Test the continuity of the following functions at indicated points : ...

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  11. Test the continuity of the following functions at indicated points : ...

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  12. Test the continuity of the following functions at indicated points : ...

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  13. Determine k, so that f(x) = {{:((x^2 - 36)/(x - 6)"," ,"if " x != 6),(...

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  14. Find k, so that f(x) = {{:((sin kx)/(x)"," ,x != 0),(4+ x",", x = 0):}...

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  15. Determine k, if the following function is continuous at x = 0 f(x) =...

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  16. For what value of k is the function defined by f(x) = {{:(k(x^2 + 2)...

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  17. Find the value of k so that f(x) is continous at x = 0 f(x) = {{:((1...

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  18. Find the value of k so that f(x) is continouns at x = 0 f(x) = {{:((...

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  19. Determine the constant k so that the function f(x) = {{:(3k - 2x"," ...

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  20. Determine the constant lambda , so that the function is continuous at ...

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