Verified Answer :

konrad509

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

There is one-sided horizontal asymptote \(y=2\)

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