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Find all the points of discontinuity of the function f defined by `f(x)= {(x+2",",if x lt 1),(0, if x =1),(x-2",", if xgt 1):}`

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The correct Answer is:
x=1
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook Illustrations for Practice Work
  1. Discuss the continuity of the function f defined by f(x)= (1)/(x), x n...

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  2. Discuss the continuity of the function f defined by f(x)= {(x+2",","if...

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  3. Find all the points of discontinuity of the function f defined by f(x)...

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  4. Discuss the continuity of the function defined by f(x) = {(x+2",","if ...

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  5. Discuss the continuity of the function f given by f(x)= {(x",","if " x...

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  6. Show that every polynomial function is continuous.

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  7. Find all the points of discontinuity of the greatest integer function ...

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  8. Prove that every rational function is continuous

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  9. Discuss the continuity of sine function

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  10. Prove that the function defined by f(x)= tan x is a continuous functio...

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  11. Show that the function defined by f(x)= sin (x^(2)) is a continuous fu...

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  12. Show that the function f defined by f(x)= |1-x + |x|| where x is any r...

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  13. Find the derivative of the function given by f(x)= sin x^(2)

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  14. Find the derivative of tan (2x + 3)

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  15. Differentiate sin(cos x^(2)) with respect to x

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  16. Find (dy)/(dx) if x-y= pi

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  17. Find (dy)/(dx) if y+ sin y= cos x

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  18. Find the derivative of f given by f(x)= sin^(-1)x assuming it exists.

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  19. Find the derivative of f given by f(x)= tan^(-1)x assuming it exists

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  20. Is it true that x= e^(log x) for all real x?

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