Q. 51 - Calculus

Question

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

$\underset{x\to \infty }{\lim }\sin x$

Step-by-Step Solution

Answer

The limit does not exist.

Step 1. Given Information.

The given function is $\underset{x\to \infty }{\lim }\sin x.$

Step 2. Value of the limit.

Consider the table,

$x$	$10$	$100$	$1000$
$\sin x$	$-0.544$	$-0.506$	$0.8268$

 The value approaches to $\infty$ as$x\to \infty$,

Therefore,

The limit does not exist.