Решить предел [latex] \lim_{n \to \infty} (3/5 + 5/16+(1+ 2^{n})/ 4^{n} [/latex]

[latex] \lim_{n \to \infty} ( \frac{1+2^{n}}{4^{n}})=[/latex]{∞/∞}= [latex]\frac{3}{5}+ \frac{5}{16} + \lim_{n \to \infty} ( \frac{1+2^{n}}{4^{n}})= [/latex][x=[latex] 2^{n} [/latex], при n→∞, x→∞]=[latex] \frac{73}{80} [/latex]+[latex] \lim_{x \to \infty} \frac{1+x}{x^{2}}= \frac{73}{80}+ \lim_{x \to \infty} ( \frac{ \frac{1}{x^{2}}+ \frac{1}{x} }{1})= \frac{73}{80}+0= \frac{73}{80} [/latex]