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Examine for continuity the following fun...

Examine for continuity the following functions:
`f(x) = {:(x , if x ne 0),(1 , if x = 0):}`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Prove that the following functions are continuous: (x^2 + x+1)/((x-1...

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  2. If f(x) = (|x-4|)/(4-x), x ne 4, f(4) = 0, show that f is continuous e...

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  3. Examine for continuity the following functions: f(x) = {:(x , if x n...

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  4. Examine for continuity the following functions: f(x) = {:(x/|x|, x n...

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  5. Examine for continuity the following functions: f(x) = {:(x^2, if x ...

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  6. Examine for continuity the following functions: f(x) = {:(2x-1, if x...

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  7. Examine for continuity the following functions: f(x) = {:{(sin x, if...

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  8. Examine for continuity the following functions: f(x) = {:{(x^2, if x...

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  9. Examine for continuity the following functions: f(x) = {:{(-2,if x l...

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  10. Locate the points of discontinuity of the function: f(x) = {:{((x^4-...

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  11. Locate the points of discontinuity of the following functions: f(x) ...

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  12. Determine the constant k(if it exists), so that the following function...

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  13. Determine the constant k(if it exists), so that the following function...

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  14. For what choice of a and b are the following functions continuous? f...

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  15. Find the values of a and b so that the following function is continuou...

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  16. For what choice of a and b are the following functions continuous? f...

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  17. Examine for continuity the function :f(x) = {:{(sin^-1 |x|, x ne 0), (...

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  18. Let f(x)={{:(1, x le -1),(lambdax + mu, -1 < x < 3), (5, x ge3):}find ...

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  19. Examine the function [1-x]+[x-1] for continuity at x = 1.

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  20. Find the domain of continuity of the following functions: f(x) = (si...

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