# What does limit approaching infinity mean?

## What does limit approaching infinity mean?

With limits approaching infinity, if infinity ends up in the denominator, then the limit normally equals 0. If you end up with infinity in the numerator and denominator, then you have to see if the highest degree (the one with the biggest exponent) of x is in the numerator or denominator.

Is there a limit if it approaches infinity?

What is the limit of this function as x approaches infinity? But don’t be fooled by the “=”. We cannot actually get to infinity, but in “limit” language the limit is infinity (which is really saying the function is limitless).

### Why is the infinity symbol a sideways 8?

The infinity symbol, a figure eight on its side, variously signifies the concept of limitlessness or eternity, especially as used notationally in mathematics and metaphorically with respect to love.

How to solve Lim as x approaches infinity?

I know that the tanhx = (ex − 1) / (ex + 1) but plugging that in, I get lim x → ∞(xln(∞ / ∞)) I am not sure what I am supposed to do there or if I even did it right. We’re not allowed to take the logs or exp (…) because we haven’t learned that yet.

## Is there a limit to the amount of Infinity?

That’s because infinity refers to something that has no end, is unlimited, and is unbounded. In other words, there is no limit to infinity. Infinity is so cool it even has a funky symbol for it. Anyway, with that definition you can see why the genie is a bit peeved.

What does it mean to say that mass ” approaches infinity “?

You probably already know from F = ma that for the same change in speed (acceleration), a larger mass requires a larger force. As the velocity of a body approaches the speed of light, its inertia (i.e. γm) becomes so high that you need an impossibly infinite force to accelerate it to exactly the speed of light.

### What does it mean when a body approaches infinity?

As the velocity of a body approaches the speed of light, its inertia (i.e. $\\gamma m$) becomes so high that you need an impossibly infinite force to accelerate it to exactly the speed of light. And as Georg says, whenever you see “becomes infinite”, read it as “approaches infinity”.