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f(x)= {(x+1",","if" x ge 1),(x^(2) + 1",...

`f(x)= {(x+1",","if" x ge 1),(x^(2) + 1",","if " x lt 1):}`

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The correct Answer is:
x=1
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Exercise-5.1
  1. f(x) = {((|x|)/(x)",","if" x ne 0),(0",","if" x= 0):}

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  2. f(x)= {((x)/(|x|)",","if" x lt 0),(-1",","if" x ge 0):}

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  3. f(x)= {(x+1",","if" x ge 1),(x^(2) + 1",","if " x lt 1):}

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  4. f(x) = {(x^(3)-3",","if" x le 2),(x^(2)+1 ",","if " x gt 2):}

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  5. f(x)= {(x^(10)-1",","if" x le 1),(x^(2)",","if" x gt 1):}

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  6. Is the function defined by f(x)= {(x+5",","if" x le 1),(x-5",","if" x ...

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  7. f(x) = {(3",","if" 0 le x le 1),(4",","if" 1 lt x lt 3),(5",","if" 3 l...

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

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  9. f(x)= {(-2",","if" x le -1),(2x",","if" -1 lt x le 1),(2",","if " x gt...

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

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  11. For what value of lamda is the function defined by f(x)= {(lamda(x^(2)...

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  12. Show that the function defined by g(x)= x - [x] is discontinuous at al...

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  13. Is the function defined by f(x)= x^(2)- sin x + 5 continuous at x= pi...

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  14. Discuss the continuity of the following functions: f(x)= sin x + cos...

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  15. Discuss the continuity of the following functions: f(x)= sin x - co...

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  16. Discuss the continuity of the following functions: f(x)= sin x. cos...

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  17. Discuss the continuity of f(x)= cosx, x in R

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

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

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

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