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At the given point x(0) discover whether...

At the given point `x_(0)` discover whether the given function is continuous or discontinuous citing the reasons for your answer:
`x_(0)=1,f(x)={{:((x^(2)-1)/(x-1)", "xne1),(2", "x=1):}`

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Verified by Experts

The correct Answer is:
It is continuous at `x_o =3`
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PREMIERS PUBLISHERS-DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY-SOLUTION TO EXERCISE 9.5
  1. Find the points of discontinuity of the function f, where f(x)={{:(x...

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

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

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

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

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

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

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  8. If f and g are continuous functions with f(3) = 5 and lim(xto3)[2f(x)-...

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

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

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  11. A function f is defined as follows : f(x) = {{:(0," for ",x lt 0),...

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  12. Which of the following functions f has a removable discontinuity at x=...

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  13. Which of the following functions f has a removable discontinuity at x=...

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  14. Which of the following functions f has a removable discontinuity at x=...

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  15. Find the constant b that makes g continuous on (-oo,oo)" "g(x)={{:(x^(...

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  16. Consider the function f(x)=x"sin"pi/x. What value must we give f(0) in...

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  17. The function f(x)=(x^2 -1)/(x^3 -1) is not defined at x=1.What value m...

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  18. State how continuity is destroyed at x=x0 for each of the following g...

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  19. State how continuity is destroyed at x=x0 for each of the following g...

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  20. State how continuity is destroyed at x=x0 for each of the following g...

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