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Prove that the following functions are c...

Prove that the following functions are continuous at all points of their domains :
`f(x)=e^(x)+e^(-x)`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(a) (SHORT ANSWER TYPE QUESTIONS)
  1. Examine the following functions for continuity: (d) f(x) = |x - 5|.

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  2. Prove that the following functions are continuous at all points of the...

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  3. Prove that the following functions are continuous at all points of the...

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  4. Prove that the following functions are continuous at all points of the...

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  5. Prove that the following functions are continuous at all points of the...

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  6. Discuss the continuity of the following functions a) f(x)=sinx+cosx

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  7. Discuss the continuity of f(x)=sinx-cosx

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  8. Discuss the continuity of f(x)=sinxcosx

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  9. Discuss the continuity of the following functions : f(x)=sinx/cosx.

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  10. Prove that f(x)=|sinx| is continuous at all points of its domain.

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  11. Examine if sin|x| is a continuous function.

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

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  13. Show that f(x)=x-|x|,x inR is continuous at x = 0.

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  14. Show that the function defined by g(x)=x-[x] is discontinuous at all i...

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

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  16. Find all points of discontinuity of f, where f is defined byf(x)={(x^...

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

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  18. Find all points of discontinuity of f, where f is defined byf(x)={(|x...

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  19. Find all points of discontinuity of f, where f is defined byf(x)={x/(...

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  20. Is the function defined by f(x)={x+5, ifxlt=1x-5, ifx >1 a continuous...

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