Question

Y=(1/2)^x +2. What is the horizontal asymptote of this function?

Answer 1

$\lim_{x\to -\infty} \left(\frac{1}{2}\right)^x+2=\infty+2=\infty\\ \lim_{x\to \infty} \left(\frac{1}{2}\right)^x+2=0+2=2$

There is one-sided horizontal asymptote $y=2$