Answer
$\displaystyle \lim_{t\rightarrow\infty}(p(t)-q(t))=0$
All children who speak in single words, in the long run, learn to speak in sentences.
Work Step by Step
$f(t)=p(t)-q(t)=100(1-\displaystyle \frac{12200}{t^{4.48}})-100(1-\frac{5.27\times 10^{17}}{t^{12}})$
When $t\rightarrow+\infty,$
both terms $\displaystyle \frac{12200}{t^{4.48}}$ and $\displaystyle \frac{5.27\times 10^{17}}{t^{12}}$ have the form $\displaystyle \frac{k}{Big}$ = Small,
so both approach $0$.
$\displaystyle \lim_{t\rightarrow\infty}f(t)=100(1-0)-100(1-0)=0$
This result is interpreted as:
All children who speak in single words, in the long run, learn to speak in sentences.
