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Show that the following function are con...

Show that the following function are continuous at x=0: `f(x) = {:{(xcos(1/x), when x ne0),(0,whenx=0):}`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Differentiation of the function : f(x) = 4x+3

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  2. Show that the following function are continuous at x=0: f(x) = |x|cos(...

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  3. Show that the following function are continuous at x=0: f(x) = {:{(xco...

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

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  5. Examine the continuity of the function 'f' at x = 0, if f(x) ={(x sin(...

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  6. Examine the continuity of the function f(x) at x = 0, f(x) = {:{(|sinx...

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

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

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

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  10. Examine the function for continuity at x = 0: f(x) = {:{(sinx/x, whe...

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  11. Discuss the continuity of f(x) at x = 0 if: f(x) = {:{((sqrt(1+x)-sq...

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  12. In the following, determine the constant so that given function is con...

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  13. In the following, determine the constant so that given function is con...

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  14. In the following, determine the constant so that given function is con...

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  15. In the following, determine the constant so that given function is con...

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  16. In the following, determine the constant so that given function is con...

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  17. In the following, determine the constant so that given function is con...

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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. In the following, determine the constant so that given function is con...

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  20. In the following, determine the constant so that given function is con...

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