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

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

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

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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 cos x

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  4. Examine the continuity of the following: e^x tan x

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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: cot x+ tan x

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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 x0 discover whether the given function is continuou...

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  17. At the given point x0 discover whether the given function is continuou...

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  18. Show that the function {:{((x^3-1)/(x-1)if,x ne 1),(3if,x=1):} is cont...

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  19. For what value of a is this function f(x){:{((x^4-1)/(x-1)if,x ne 1),(...

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  20. Graph the function. Show that f(x) continuous on (-infty,infty)

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