Question Number 31671 by gunawan last updated on 12/Mar/18
![let f diferensiabel on continues x=a and f(a)≠ 0 lim_(n→∞) [((f(a+(1/n)))/(f(a)))]^n value is ?](Q31671.png)
$$\mathrm{let}\:{f}\:\mathrm{diferensiabel}\:\mathrm{on}\:\mathrm{continues} \\ $$$${x}={a}\:\mathrm{and}\:{f}\left({a}\right)\neq\:\mathrm{0} \\ $$$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\:\left[\frac{{f}\left({a}+\frac{\mathrm{1}}{{n}}\right)}{{f}\left({a}\right)}\right]^{{n}} \\ $$$$\mathrm{value}\:\mathrm{is}\:? \\ $$