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#