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

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Answer 1 · 2018-06-14T16:14:02

Limit $x -> oo, 2x^2 -> oo$

Limit $x -> oo, x ->oo$

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

Limit $x -> oo, 2x -> oo$

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

Limit $x -> oo, x^2 -> oo$

Put it all together:

Limit $x -> oo, 2x^2 -> oo$

What is the limit of 2x^22x^2 as x goes to infinity?