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If `f(x)` is continuous for all x, where `f(x)={:{((x^(2)-7x+12)/((x-2)^(2))", for "x!=2),(k ", for" x = 2 ):}`, then `k=`

A

7

B

-7

C

`pm7`

D

14

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NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
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  3. If f(x) is continuous for all x, where f(x)={:{((x^(2)-7x+12)/((x-2)^...

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  4. If f(x) is continuous at x=2, where f(x)={:{((x^(2)-(a+2)x+a)/(x-2)"...

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

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  14. If f(x)=(sqrt(a^2-a x+x^2)-sqrt(a^2+a x+x^2))/(sqrt(a+x)-sqrt(a-x)) is...

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  15. If f(x) is continuous at x=2a, where f(x)=(sqrt(x)-sqrt(2a)+sqrt(x-2a)...

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

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

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

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

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  20. If f(x) is continuous at x=pi/4, where f(x)=(1-tanx)/(1-sqrt(2)sin x),...

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