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If f(x)={:{(root(3)((4x+1)/(1-4x))", for...

If `f(x)={:{(root(3)((4x+1)/(1-4x))", for " x!=0),(e^(6)", for " x=0):}`, then at `x=0`

A

f is continuous if `f(0)=e^(-8)`

B

f is continuous

C

f has irremovable discontinuity

D

f has removable discontinuity

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The correct Answer is:
D
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NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
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  19. If f(x) is continuous at x=7, where f(x)=(log x-log 7)/(x-7), for x!=7...

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