Define $\Delta x \equiv x_2 – x_1$, to be consistent with this post. Similarly, define $\Delta y \equiv y_2 – y_1$ and $\Delta […] Continue Reading ### A Limit Involving the Cosine Function Now that several limit properties have been proven, it is possible for me to evaluate$ \lim_{\alpha \rightarrow 0} \frac{1 – \cos […]

In this post, I show that $\lim_{x \rightarrow a} [f(x) + g(x)]$ is equal to \$\lim_{x \rightarrow a}f(x) + \lim_{x \rightarrow a} […]