## Precalculus (6th Edition) Blitzer

As the exponent x nears $\sqrt{3}$, the value of $2^{x}$ gets closer and closer to $2^{\sqrt{3}}.$
$2^{1.7}\approx 3.2490096$ $2^{1.73}\approx 3.3172782$ $2^{1.732}\approx 3.3218801$ $2^{1.73205}\approx 3.3219952$ $2^{1.7320508}\approx 3.3219971$ $2^{\sqrt{3}}\approx 3.3219971$ As the exponent $x$ nears $\sqrt{3}$, the value of $2^{x}$ gets closer and closer to $2^{\sqrt{3}}.$