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Discuss the continuity of the function f...

Discuss the continuity of the function f given by `f(x)= {(x",","if " x gt 0),(x^(2)",","if " x lt 0):}`

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The correct Answer is:
f is continious function
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook Illustrations for Practice Work
  1. Find all the points of discontinuity of the function f defined by f(x)...

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

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

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  4. Show that every polynomial function is continuous.

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

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  6. Prove that every rational function is continuous

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  7. Discuss the continuity of sine function

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

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

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

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

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

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

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

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

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

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

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

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  19. Differentiate the following w.r.t x: (i) e^(-x) (ii) sin (log x), x ...

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  20. Differentiate sqrt((x-3) (x^(2) + 4))/sqrt((3x^(2) + 4x + 5)) w.r.t x.

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