# Its GIF not GF

Calculus Level 4

If function $$f$$ is defined as $$f(n)= \lfloor \sqrt{n}+0.5 \rfloor$$, find the value of $\left\lfloor \displaystyle \sum_{n=1}^{\infty}\frac{2^{f(n)}+2^{-f(n)}}{2^{n}} \right\rfloor.$

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