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Question Number 31676 by gunawan last updated on 12/Mar/18

$$\mathrm{Given}\mathrm{function}f\mathrm{diferensiabel}\mathrm{on}\mathbf{R}.$$$$\mathrm{If}\underset{x\to 0}{\lim }f(\frac{a}{x}+b)\mathrm{non}\mathrm{zero}$$$$\underset{x\to 0}{\lim }[f(\frac{a}{x}+b)-\frac{a}{x}{f}^{\prime }(\frac{a}{x}+b)]=a$$$$\mathrm{how}\mathrm{many}\mathrm{value}\underset{x\to \mathrm{\infty }}{\lim }f\left(x\right)$$

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