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Discuss the continuity of the function f...

Discuss the continuity of the function `f` is given by `f(x)=|x|` at `x=0`

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V PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Check the point where the constant function f(x)=k is continuous.

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  2. Prove that the identity function on real numbers given by f(x)= x is c...

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  3. Discuss the continuity of the function f is given by f(x)=|x| at x=0

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  4. Discuss the continuity of the function f(x)=x^3+x^2-1

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  5. Discuss the continuity of the function f(x)=1/x,xne0

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  6. Check the continuity of the function f(x)={(x,+,2,if,x,<,0),(-x,+,2,...

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

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  8. Show that every polynomial function is continuous

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  9. Prove that the greatest integer function f : R rarrR given by f(x) =[x...

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  10. Prove that every rational function is continuous.

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  11. Discuss the continuity of sine function.

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

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  13. Prove that the function f(x)=5x-3 is continuous at x=0, at x=-3 and at...

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  14. Examine the continuity of the function f(x)=2x^2-1 at x=3

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  15. Examine the following functions for continuity f(x)=1/(x-5)

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  16. Prove that the function f(x)=x^n is continuous at x=n, where n is a p...

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  17. Is the function f defined by f(x)={(x","ifxle1),(5"," ifx>1):} continu...

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

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

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  20. Evalute lim(xrarr0)f(x) , where f(x)={(absx/x, x ne 0),(0,x=0):}

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