Arlight well lets see...
first lets do whats inside the square root sign...
sin(1/x) --> infinity is equal to 0, since the limit of 1/x as it apporaches infinity is zero, and sin(0)=0. arctan(x) as it approaches infinity is equal to Pi/2.
Pi/2 * 0 = 0.
so now the equation looks like:
limit as x approaches infnity( natural log(2 + square root (0) ) )
The square root of 0 = 0 so it's just the natural log of 2
Therefore:
= ln(2) or ~.69314718056
easy calculus 1
A better captcha equation would be.