Let \( [t] \) denote the greatest integer \( \leq t \) and \( \lim _{x \rightarrow 0} x\left[\fr...
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Let \( [t] \) denote the greatest integer \( \leq t \) and \( \lim _{x \rightarrow 0} x\left[\frac{4}{x}\right]=A \). Then the function, \( f(x)=\left[x^{2}\right] \sin (\pi x) \) is
\( \mathrm{P} \) discontinuous, when \( \mathrm{x} \) is equal to :
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(1) \( \sqrt{\mathrm{A}} \)
(2) \( \sqrt{\mathrm{A}+1} \)
(3) \( \sqrt{\mathrm{A}+5} \)
(4) \( \sqrt{\mathrm{A}+21} \)
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