# Math Help - Squeeze theorem

1. ## Squeeze theorem

Use the squeeze theorem to solve the limit.

limit when x approaches 0

x^4 cos (3/x)

2. Originally Posted by math123456
Use the squeeze theorem to solve the limit.

limit when x approaches 0

x^4 cos (3/x)
since $-1 \le \cos\left(\frac{3}{x}\right) \le 1$ and $x^4 \ge 0$ ,

$x^4(-1) \le x^4 \cos\left(\frac{3}{x}\right) \le x^4(1)$

squeeze it.

3. ## squeeze theorem

I am not sure what you mean by this. Can you help me solve it.

4. Originally Posted by skeeter
since $-1 \le \cos\left(\frac{3}{x}\right) \le 1$ and $x^4 \ge 0$ ,

$x^4(-1) \le x^4 \cos\left(\frac{3}{x}\right) \le x^4(1)$

squeeze it.
Originally Posted by math123456
I am not sure what you mean by this. Can you help me solve it.
What is the limit of each side as x --> 0? Therefore ....