Question

Private study

Answer 1

This is the problem?\[\lim_{x \rightarrow 0} \frac{ \frac{1}{2+x} - \frac{1}{2} }{ x }\]

Answer 2

\[= \lim_{x \rightarrow 0} \left[ \frac{1}{2x+x^2} - \frac{1}{2x} \right] = \lim_{x \rightarrow 0} \left[ \frac{-x^2}{4x^2+2x^3} \right] = \lim_{x \rightarrow 0} \left[ \frac{-1}{4+2x} \right] \]