\(\sqrt{}\begin{pmatrix} 1\\ 2 \end{pmatrix}-\begin{pmatrix} 1\\ 2 \end{pmatrix}\lim_{x\rightarrow 0}\)
Find the following limit:
lim_(x->0) (sqrt(1/2) - 1/2)
Hint: | Simplify the expression inside the limit.
sqrt(1/2) - 1/2 = 1/sqrt(2) - 1/2:
lim_(x->0) (1/sqrt(2) - 1/2)
Hint: | The limit of a constant is that constant.
Since 1/sqrt(2) - 1/2 is constant, lim_(x->0) (1/sqrt(2) - 1/2) = 1/sqrt(2) - 1/2:
= 1/sqrt(2) - 1/2
