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Show that the following functions are co...

Show that the following functions are continuous:
`f(x) = sin(x^2)`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Prove that the following functions are continuous: |cos x|

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  2. Prove that the following functions are continuous: cosx^2

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  3. Show that the following functions are continuous: f(x) = sin(x^2)

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  4. Prove that the following functions are continuous: e^(cosx)

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  5. Prove that the following functions are continuous: e^x(tanx)

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  6. Prove that the following functions are continuous: (x^2 + x+1)/((x-1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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