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Is the function defined by f(x)={x+5, if...

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

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The correct Answer is:
Discontinuous at x = 1
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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(a) (SHORT ANSWER TYPE QUESTIONS)
  1. Find all points of discontinuity of f, where f is defined byf(x)={(|x...

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

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

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  4. Is the function f defined by f(x)={{:(x, if x le 1),(5, if x gt 1):...

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  5. Show that the function f given by f(x)={x^3+3if""""x!=0 1if""""x=0 is ...

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  6. Discuss the continuity of the function f defined by f(x)=1/x , x!=0.

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  7. Discuss the continuity of the function : f(x)={{:(x",if "xge0),(x^(2...

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  8. Discuss the continuity of the function defined byf(x)={x+2, ifx<0-x+2,...

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  9. Examine the continuity of the function : f(x)={{:(x+1" , "xle2),(2x-...

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  10. f(x)={{:((x^(2)-25)/(x-5)",","when",x ne 5),( 10",", "when",x=5):} is ...

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

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

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  13. Discuss the continuity of the function : f(x)={{:((|x-a|)/(x-a)",whe...

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  14. Discuss the continuity of the function f, where f is defined by f(x){{...

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  15. Discuss the continuity of the function f, where f is defined byf(x)={...

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  16. Discuss the continuity of the function : f(x)={{:(x", "0lexlt1/2),(...

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  17. Discuss the continuity of the function : f(x)={{:((1-cosx)/x^(2)", "...

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  18. Show that the function f(x)defined as f(x) = xcos(1/x),x!=0; 0,x=0is c...

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  19. Show that the following functions are continuous at x = 0 : f(x)={{:...

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  20. Test the continuity of the function f (x) : f(x)={{:(x^(2)sin.(1)/(...

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