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Examine the continuity of the following:...

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

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The correct Answer is:
-4
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FULL MARKS-DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY-EXERCISE 9.5
  1. Examine the continuity of the following: x. ln x

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

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

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

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

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  6. Examine the continuity of the following: cot x+ tan x

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

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

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

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

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

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

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

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

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

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  16. If f and g are continuous functions with f(3)=5 and lim(x to 3)[2f(x)-...

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  17. Find the points at which f is discontinuous . At which of these points...

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  18. Find the points at which f is discontinuous . At which of these points...

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  19. A function f is defined as follows: f(x)={:{(0,for,x lt0),(x , for,0...

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  20. Which of the following f has removable discontinuity at x=x0? If the d...

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