Q. 47 - Calculus

Question

Use tables of values to make educated guesses for each of the limits in Exercises 39–52. 

$\underset{x\to -\infty }{\lim }\frac{3x+1}{1-x}$

Step-by-Step Solution

Answer

The value is $-3.$

Step 1. Given information.

The given function is $\underset{x\to -\infty }{\lim }\frac{3x+1}{1-x}$

Step 2. Value of the limit.

Consider the table,

The value approaches to $-3.$

Therefore,

$\underset{x\to -\infty }{\lim }\frac{3x+1}{1-x}=-3$.