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Define: f (x) =|x^(2)-4x +3| ln x+2 (x-...

Define: `f (x) =|x^(2)-4x +3| ln x+2 (x-2)^(1//3) , x gt 0`
`h (x)= {{:(x-1"," , x in Q),(x ^(2) -x-2"," , x cancel (in)Q):}`
h (x) is discontinous at `x =……`

A

`1+ sqrt2`

B

`tan ""(3pi)/(8)`

C

`tan ""(7pi)/(8)`

D

`sqrt2-1`

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The correct Answer is:
D
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VK JAISWAL-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (COMPREHENSION TYPE PROBLEMS)
  1. Let f (x) and g (x) be two differentiable functions, defined as: f (...

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  2. Define: f (x) =|x^(2)-4x +3| ln x+2 (x-2)^(1//3) , x gt 0 h (x)= {{:...

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  3. Define: f (x) =|x^(2)-4x +3| ln x+2 (x-2)^(1//3) , x gt 0 h (x)= {{...

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  4. Consider a function defined in [-2,2] f (x)={{:({x}, -2 lle x lt -1)...

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  5. Consider a function defined in [-2,2] f (x)={{:({x}, -2 le x lt -1),...

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  6. Consider a function f (x) in [0,2pi] defined as : f(x)=[{:([sinx]+ ...

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  7. Consider a function f (x) in [0,2pi] defined as : f(x)=[{:([sinx]+ ...

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  8. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

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  9. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

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  10. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

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  11. Let f :R to R be a continous and differentiable function such that f (...

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  12. Let f :R to R be a continous and differentiable function such that f (...

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  13. Let f :R to R be a continous and differentiable function such that f (...

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  14. f(x)=(cos^2x)/(1+cosx+cos^2x) and g(x)=ktanx+(1-k)sinx-x, where k in R...

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  15. f(x)=(cos^2x)/(1+cosx+cos^2x) and g(x)=ktanx+(1-k)sinx-x, where k in R...

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  16. f (x) = lim (x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +...

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  17. f (x) = lim (x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +...

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  18. f (x) = lim (x to oo) (x ^(2) + 2 (x+1)^(2n))/((x+1) ^(2n+1) + x^(2) +...

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  19. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

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  20. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

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