Answer :
[tex]\lim_{x\to -\infty} \left(\frac{1}{2}\right)^x+2=\infty+2=\infty\\
\lim_{x\to \infty} \left(\frac{1}{2}\right)^x+2=0+2=2\\[/tex]
There is one-sided horizontal asymptote [tex]y=2[/tex]
There is one-sided horizontal asymptote [tex]y=2[/tex]
