# What is the limit of 2x^2 as x goes to infinity?

Jun 14, 2018

Limit $x \to \infty , 2 {x}^{2} \to \infty$

#### Explanation:

Limit $x \to \infty , x \to \infty$

Obviously, the $2 x$ grows twice as fast so:

Limit $x \to \infty , 2 x \to \infty$

Obviously, the ${x}^{2}$ grows exponentially by a factor of 2 so:

Limit $x \to \infty , {x}^{2} \to \infty$

Put it all together:

Limit $x \to \infty , 2 {x}^{2} \to \infty$