Question Number 67958 by hmamarques1994@gmai.com last updated on 02/Sep/19
$$\: \\ $$$$\:\underset{\boldsymbol{\mathrm{x}}\rightarrow\mathrm{2}} {\boldsymbol{\mathrm{lim}}}\left(\frac{\mathrm{7}^{\sqrt[{\mathrm{3}}]{\boldsymbol{\mathrm{log}}_{\boldsymbol{\mathrm{x}}} \left(\mathrm{256}\right)}} −\mathrm{49}}{\mathrm{2}^{−\sqrt{\mathrm{2}^{\boldsymbol{\mathrm{x}}} }} −\frac{\mathrm{1}}{\mathrm{4}}}\right)\:\approx\:? \\ $$$$\: \\ $$