Q. 4 - Calculus

Question

When calculating each of these $\underset{x\to c}{lim} f\left(x\right)$, you simply used the value of f(c). Will that method always work for any limit? Why or why not?

Step-by-Step Solution

Answer

 $\underset{x\to c}{lim} f\left(x\right)$ is true for all real numbers c, but if f(x) is not defined for c, then the limit implication will be false.

Step 1. Given information

We have to explain that when calculating each of these $\underset{x\to c}{lim} f\left(x\right)$, you simply used the value of f(c). Will that method always work for any limit.

Step 2. Explanation

$\underset{x\to c}{lim} f\left(x\right)$ is true for all real numbers c, but if f(x) is not defined for c, then the limit implication will be false.