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Question Number 87358 by john santu last updated on 04/Apr/20

$$\mathrm{what}\mathrm{is}\mathrm{the}\mathrm{number}\mathrm{of}$$$$\mathrm{integral}\mathrm{values}\mathrm{of}\mathrm{y}\mathrm{for}\mathrm{which}?$$$$\underset{x\to 0}{\lim }\frac{{\mathrm{y}}^2+10\mathrm{y}-24\sin \left(\frac{1}{\mathrm{x}}\right)}{{\mathrm{y}}^2+10\mathrm{y}-24\sin \left(\frac{2}{\mathrm{x}}\right)}$$$$\mathrm{does}\mathrm{not}\mathrm{exist}$$

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