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Prove that f(x)=2x^(2)+3x-5 is continuou...

Prove that `f(x)=2x^(2)+3x-5` is continuous at all points in `RR`.

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SURA PUBLICATION-DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY-EXERCISE 9.5
  1. Prove that f(x)=2x^(2)+3x-5 is continuous at all points in RR.

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  2. Examine the continuity of the following : x + sinx

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  3. Examine the continuity of the following : x^(2)cosx

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  4. Examine the continuity of the following : e^(x)tanx

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  5. Examine the continuity of the following : e^(2x)+x^(2)

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  6. Examine the continuity of the following : x.ln x

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  7. Examine the continuity of the following : sinx/x^(2)

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  8. Examine the continuity of the following : (x^(2)-16)/(x+4)

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  9. Examine the continuity of the following : |x+2|+|x-1|

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  10. Examine the continuity of the following : (|x-2|)/(|x+1|)

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  11. Examine the continuity of the following : cotx+tanx

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  12. Find the points of discontinuity of the function f, where f(x)={{:(4...

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  13. Find the points of discontinuity of the function f, where f(x)={{:(x...

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  14. Find the points of discontinuity of the function f, where f(x)={{:(x...

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  15. Find the points of discontinuity of the function f, where f(x)={{:(s...

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  16. At the given point x(0) discover whether the given function is continu...

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  17. At the given point x(0) discover whether the given function is continu...

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  18. Show that the function {{:((x^(3)-1)/(x-1)", ""if "xne1),(3", ...

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  19. For what value of alpha is this function f(x)={{:((x^(4)-1)/(x-1)", ...

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  20. Let f(x)={{:(0", ""if "xlt0),(x^(2)", ""if "0lexlt2),(4", ""if ...

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