## Calculus (3rd Edition)

$$\lim _{x \rightarrow 0}(2 a+x)=2a$$
Given $$\lim _{x \rightarrow 0}(2 a+x), \ \ \ a \ \ \text{is constant}$$ let $$f(x) = 2a +x$$ Since, we have $$f( 0)= 2a+0=2a$$ So, we get \begin{aligned} L&= \lim _{x \rightarrow 0}(2 a+x)\\ &= 2 a+0\\ &=2a \end{aligned}