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### Promoting Articles from the Forums

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#### Re: Limits & properties

Let's take a look at a couple of examples.

If $f(x)=x$, then $f'(x)=1$ and $f''(x)=0$.
So $\lim\limits_{x\to +\infty}f'(x)\ne 0$,

Klaas van Aarsen Today, 05:31

#### Re: Limits & properties

Ok!!

As for the second question, why is the limit always zero?

mathmari Today, 04:35

#### Re: Limits & properties

Yep.
And no, nothing more specific.

Klaas van Aarsen Today, 04:26

#### Re: 34 mnt

The average acceleration is $\displaystyle \frac{20}{\frac{1}{6}} = 120 \,\textrm{mi}/\textrm{h}^2$

Since the function is continuous and

Prove It Today, 04:23

#### Re: Limits & properties

OK, so it's graph is a decreasing function, right? Or can we say something more specifically?

mathmari Today, 03:57