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Examine whether the function f(x)=x^2 is...

Examine whether the function `f(x)=x^2` is continuous at x=0

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A N EXCEL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Check the continuity of the function f(x)=2x+3 at x=1

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  2. Examine whether the function f(x)=x^2 is continuous at x=0

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  3. Show that the function f(x)={(x^3+3ifxne0),(1ifx=0):} is not continuou...

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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. Let f(x)={((x^2-9)/(x-3)":"xne3),(5:x=3):}} Is f(x) continuous at x=3?

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

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

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

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  10. Examine the following functions for continuity f(x)=x-5

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

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  12. Examine the following functions for continuity f(x)=(x^2-25)/(x+5)

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  13. Examine the following functions for continuity f(x)=|x-5|

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

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

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

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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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