Which of the following function is continuous at for all value of x? (i) \[f\left( x \right)\] =sgn\[({{x}^{3}}-x)\](ii) \[f\left( x \right)\] =sgn \[(2\cos x-1)\](iii) \[f\left( x \right)\] =sgn \[({{x}^{2}}-2x+3)\]

Which of the following function is continuous at for all value of x?

1.	Which of the following function is continuous at for all value of x? (i) \[f\left( x \right)\] =sgn\[({{x}^{3}}-x)\](ii) \[f\left( x \right)\] =sgn \[(2\cos x-1)\](iii) \[f\left( x \right)\] =sgn \[({{x}^{2}}-2x+3)\]
A.	Only (i)
B.	Only (iii)
C.	Both (ii) and (iii)
D.	None of these
Answer» C. Both (ii) and (iii)

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Which of the following function is continuous at for all value of x? (i) \[f\left( x \right)\] =sgn\[({{x}^{3}}-x)\](ii) \[f\left( x \right)\] =sgn \[(2\cos x-1)\](iii) \[f\left( x \right)\] =sgn \[({{x}^{2}}-2x+3)\]

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