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The function f(x) =(2x^(2)+7)/(x^(3)+3x...

The function `f(x) =(2x^(2)+7)/(x^(3)+3x^(2)-x-3)` is discontinuous for

A

`x=1` only

B

`x=1, -1` only

C

`x=1, -1,-3` and other values of x

D

`x=1, -1, -3` only

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The correct Answer is:
D
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NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. The function f(x) =(2x^(2)+7)/(x^(3)+3x^(2)-x-3) is discontinuous for

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  2. Find the points of discontinuity of y = (1)/(u^(2) + u -2), where u = ...

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  3. If f(x) is continuous at x=3, where f(x)=(x^(2)-7x+12)/(x^(2)-5x+6),fo...

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  4. If f(x) is continuous for all x, where f(x)={:{((x^(2)-7x+12)/((x-2)^...

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  5. if the function f(x)=(x^2-(a+2)x+a)/(x-2) for x!=2 and f(x)=2 for x=2 ...

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  6. If f(x) is continuous at x=2, where f(x)=((x^(2)-x-2)^(20))/((x^(3)-1...

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  7. If f(x) is continuous at x=-2, where f(x)=(2)/(x+2)+(1)/(x^(2)-2x+4)-...

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  8. If f(x) is continuous at x=1, where f(x)=(x^(n)-1)/(x-1), for x != 1...

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  9. Examine the continuity of the given function at given points f(x)=(x+3...

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  10. If f(x) is continuous at x=3, where f(x)={:{((x^(2)-9)/(x-3),", for"x...

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  11. If f(x) is continuous at x=16, where f(x)={:{((x^(8)-(256)^(4))/(x^(4...

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  12. The value of f(0), so that the function f(x)=((27-2x)^2-3)/(9-3(243+5x...

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  13. If f(x)=(1+x)^(5//x) is continuous at x=0, then what is the value of f...

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  14. If the function f(x) defined as : f(x) =(x^4-64x)/(sqrt(x^2+9)-5), for...

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  15. The value of f(0), so that the function f(x)=(sqrt(a^2-a x+x^2)-sqrt(...

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  16. Evaluate : ("lim")(xvec2a^+)(sqrt(x-2a)+sqrt(x)-sqrt(2a))/(x^2-4a^2)

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  17. If f(x) is continuous at x=sqrt(2), where f(x)=(sqrt(3+2x)-(sqrt(2)+1)...

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  18. If f(x) is continuous at x=5, where f(x)=(sqrt(3+sqrt(4+x))-sqrt(6))/(...

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  19. If f(x) is continuous at x=0, where f(x)=sin x-cos x, for x!=0, then ...

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  20. If f(x) is continuous at x=pi/2, where f(x)=(sqrt(2)-sqrt(1+sin x))/(...

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