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If f(x)={:{(1-x", for " 0 lt x le 1), ( ...

If `f(x)={:{(1-x", for " 0 lt x le 1), ( 1/2 ", for " x=0):}`, then in [0, 1]

A

f(x) is not continuous

B

f(x is continuous

C

f(x) is continuous at `x=0`

D

f(x) is continuous at `x=1`

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The correct Answer is:
A
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  5. If f(x)={:{((sinx)/(x)", for " x lt 0),(x+1", for " x ge 0):}, then

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  7. If f(x)={:{((sin2x)/(sqrt(1-cos2x))", for " 0 lt x le pi/2),((cos x)/(...

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  11. If f(x)=(x+1)/((x-2)(x-5)), then in [0, 1]

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  12. If f(x)={:{(x", for " x ge 0),(x^(2)", for " x lt 0):}, then f is

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

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  14. If f(x)={((1)/(x+1)", for " 2 le x le 4),((x+1)/(x-3)", for " 4 lt x l...

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  17. f(x)={(|x|+3",","if", x le -3),(-2x",", "if", -3 lt x lt 3),(6x+2",","...

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  18. If f(x)={(2x", for " x lt 0),(2x+1", for " x ge 0):} , then

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

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