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Show that the function defined by f(x)=s...

Show that the function defined by `f(x)=sin(x^2)` is a continuous function?

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A N EXCEL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Discuss the continuity of the function f(x)=1/x,xne0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Is the function defined by f(x)={(x+5","ifxle1),(x-5","ifxgt1):} a con...

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  20. Find the relation between 'a' and 'b' if the function f defined by f...

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