Answer:
Step-by-step explanation:
Hello,
If you take
[tex]\displaystyle f(x)=\dfrac{2}{x}\\\\g(x)=\dfrac{1}{x}\\\\\dfrac{f(x)}{g(x)}=2\\\\ lim_{x\rightarrow+\infty} \ \dfrac{f(x)}{g(x)} = 2\\\\lim_{x\rightarrow+\infty} \ f(x) = 0 \\\\lim_{x\rightarrow+\infty} \ g(x) = 0\\\\\text{So at the limit this is somehow } \dfrac{0}{0}=2[/tex]
This is why in Algebra we usually considered that [tex]0^0=1[/tex] but this is not true in calculus.
Thanks
