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The function f(x) = |x| AA x in R is...

The function `f(x) = |x| AA x in R` is

A

continuous for all `x in R^(-)`

B

continuous for all `x in R^(+)`

C

continuous for all `x in R`

D

discontinuous for all `x in R`

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The correct Answer is:
C
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NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
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  4. If f(x)=2x-|x|, then at x=0

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  5. If f(x)={:{((x)/(|x|)", for " x!=0),(c", for " x=0):}, then f is

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  6. If f(x)={:{((|x|)/(x)", for " x!=0),(1", for " x=0):}, then

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  7. If f: R rarr R is defined bu f(x)=[x-3] + |x-4| for x in R, then li...

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  8. If f(x)={:{((cot x-cos x)/((pi-2x)^(3))", for " x != (pi)/(2)),(k ", f...

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  9. If f(x)=log(sec^(2)x)^(cot2) for xne0 for x=0 is continuous at x=0, th...

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

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  11. If f(u) = 1/(u^(2)+u-2) , where u = 1/(x-1) , then the points of dis...

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

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

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

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

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

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

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  18. If f(x) is continuous at x=1, where f(x)=((x+3x^(2)+5x^(3)+...+(2n-1)...

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

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

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