Q. 15 - Calculus

Question

Suppose f and g are functions such that $\underset{x\to 3}{\lim }f\left(x\right)=5,\underset{x\to 4}{\lim }f\left(x\right)=2$ and $\underset{x\to 3}{\lim }g\left(x\right)=4$

Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why. 

$\underset{x\to 7}{\lim }f\left(x\right)$

Step-by-Step Solution

Answer

The value of $\underset{x\to 7}{\lim }f\left(x\right)$ cannot be calculated

Step 1. Given information

The given limits $\underset{x\to 7}{\lim }f\left(x\right)$

And,the given values $\underset{x\to 3}{\lim }f\left(x\right)=5,\underset{x\to 4}{\lim }f\left(x\right)=2$ and $\underset{x\to 3}{\lim }g\left(x\right)=4$

Step 2. Calculating value of the given limits

Since $\underset{x\to 7}{\lim }f\left(x\right)$is not given in the information,therefore the value cannot be calculated