Question

lim$\frac{7^{x}+4^{x}}{8^{x}}$
x->∞

Answer 1

$\lim_{x \to \infty} \frac{7^x+4^x}{8^x}= \lim_{x \to \infty}( (\frac{7}{8})^x+( \frac{1}{2})^x)=0+0=0$

Answer 2

casa nu fie identica rezolvarea, impartim numaratorul si numitorul cu 8^x

 lim cand x->∞( (7^x/8^x)+(4^x/8^x))/(8^x/8^x)= (lim(7/8)^x+lim(1/2)^x)/lim1, toatecand x->∞=(0+0)/1=0