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f(x)={{:(|x|+3, if x le -3),(-2x, if -3 ...

`f(x)={{:(|x|+3, if x le -3),(-2x, if -3 lt x lt 3 ),(6x + 2, if x ge3):}`

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The correct Answer is:
Discontinous at x=3
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f(x)= {(|x|+3",","if" x le -3),(-2x",","if"-3 lt x lt 3),(6x + 2 ",","if " x ge 3):}

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Find the values of a and b such that the function defined by f(x)= {(5,"if" x le 2),(ax + b",","If " 2 lt x lt 10),(21,"If" x ge 10):} is a continuous function

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f(x)= {(2x",","if" x lt 0),(0",","if" 0 le x le 1),(4x",","if" x gt 1):}

2x-3y lt 6

f(x)= {(|x+1|",",x lt -2),(2x+3",",-2 le x lt 0),(x^(2) + 3",",0 le x lt 3),(x^(3)-15,3 le x):} . Find at which points, the function f(x) is discontinuous ?

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NCERT GUJARATI-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5.1
  1. Is the function f defined by f(x)={{:(x, if x le 1),(5, if x gt 1):...

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

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  3. f(x)={{:(|x|+3, if x le -3),(-2x, if -3 lt x lt 3 ),(6x + 2, if x ge3)...

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

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

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

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  7. Find all points of discontinuity of f, where f is defined byf(x)={x^3...

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

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

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

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  11. f(x){{:(2x "," if x lt 0 ),(0"," if 0 le x le 1),(4x "," if x gt 1 ):}

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  12. f(x) {{:(-2"," if x le -1),(2x"," if -1lt x le 1),(2"," if x gt 1):}

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  13. Find the relationship between a and b so that the function f defined b...

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  14. For what value of lambdais the function defined by f(x)={lambda(x^2-2...

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

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

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

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

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

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  20. Discuss the continuity of the cosine, cosecant, secant and cotangen...

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