If \( \mathrm{f}(\mathrm{x})=\mathrm{p}|\sin \mathrm{x}|+\mathrm{q} \cdot \mathrm{e}^{|\mathrm{x...
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If \( \mathrm{f}(\mathrm{x})=\mathrm{p}|\sin \mathrm{x}|+\mathrm{q} \cdot \mathrm{e}^{|\mathrm{x}|}+\mathrm{r}|\mathrm{x}|^{3} \) and \( \mathrm{f}(\mathrm{x}) \) is differentiable at \( \mathrm{x}=0 \), then
\( \mathrm{P} \)
(1) \( p=q=r=0 \)
(2) \( \mathrm{p}=0, \mathrm{q}=0, \mathrm{r} \in \mathrm{R} \)
W)
(3) \( q=0, r=0, p \in R \)
(4) \( \mathrm{p}+\mathrm{q}=0, \mathrm{r} \in \mathrm{R} \)
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