In this post, I show that $\lim_{x\rightarrow a}\frac{f(x)}{g(x)}=\frac{\lim_{x\rightarrow a}f(x)}{\lim_{x \rightarrow a}g(x)}$ given that $\lim_{x\rightarrow a}f(x)=A$, […]
Tag: property
Limit of the Product of Two Functions
In this post, I show that $\lim_{x\rightarrow a}[f(x)g(x)] = \lim_{x\rightarrow a} f(x) \lim_{x\rightarrow a} g(x)$ given […]
Limit of a Difference of Two Functions
In this post, I show that $\lim_{x\rightarrow a}[f(x) – g(x)] = \lim_{x \rightarrow a} f(x) […]
Limit of a Function Multiplied by a Scalar
In this post, I show that $ \lim_{x \rightarrow a} [c f(x)] = c \lim_{x \rightarrow […]