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Function f(x)={(x-1",",x lt 2),(2x-3",",...

Function `f(x)={(x-1",",x lt 2),(2x-3",", x ge 2):}` is a continuous function

A

for x = 2 only

B

for all real values of x

C

for all real values of x such that `x!=2`

D

for all integral values of x only

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The correct Answer is:
B
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  2. If f(x)={(2x", for " x lt 0),(2x+1", for " x ge 0):} , then

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  5. If f(x)={:{((x^(2)-3x+2)/(x-3)", for " 0 le x lt 4),((x^(2)-1)/(x-2)",...

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  9. If f is continuous at x=0 , where f(x)=x^2+alpha ,x>=0, f(x)=2sqrt(...

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  10. If f(x)(x^(2)-9)/(x-3)+alpha, "for" x gt 3 =5, "for" x =3 =2x^(2)+...

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  11. If the function f(x)= {(5", " x le 2),(ax+b", "2 ltx le ...

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  12. If f(x) is continuous at x=1, where f(x)={:{(kx^(2)", for " x ge 1),(...

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  13. If f(x) is continuous on [0, 8] , where f(x)={:{(x^(2)+ax+6", for " 0...

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  14. If f(x) is continuous in [0, 3], where f(x)={:{(3x-4", for " 0 le x l...

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  15. If f(x) continuous on its domain, where f(x)={:{(6", for " x le 2), (...

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  16. If f (x) is continuous on 0-4, 2], defined as f(x)=6b-3ax, "for" -4 ...

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  17. If f(x) is continuous at x=3, then f(x)=ax+1," for x "le3 =bx+...

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  18. If f(x) is continuous in [-2, 2], where f(x)={:{(x+a", for " x lt 0)...

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  19. If f(x)={(sqrt(1+k x)-sqrt(1-k x))/x for 1 le x< 0 and 2x^2+3x-2 for...

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  20. If the function f:R to R given by f(x)={(x+a"," , "if "x le 1),(3...

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