Project ID:
7100020144
Accepted:
Typ:
Layout:
Question:
Priraďte každej zadanej limite jej hodnotu.
Question 1:
$$
\lim_{x\rightarrow 0} \frac{\sin x }{ x }
$$
Answer 1:
$$1$$
Question 2:
$$
\lim_{x\rightarrow 0} \frac{ 1-\cos x }{x^2 }
$$
Answer 2:
$$ \frac12$$
Question 3:
$$
\lim_{x\rightarrow \infty} \frac{ \ln x}{ x}
$$
Answer 3:
$$ 0 $$
Question 4:
$$
\lim_{x\rightarrow 0} \frac{\mathrm{e}^x-1 }{ 4x }
$$
Answer 4:
$$ \frac14 $$
Question 5:
$$
\lim_{x\rightarrow 2 } \frac{ x^3-2x-4 }{ x^2-3x+2 }
$$
Answer 5:
$$ 10 $$
Question 6:
$$
\lim_{x\rightarrow 1} \frac{ x^2+x-2 }{ \ln\,x }
$$
Answer 6:
$$ 3 $$
Question 7:
$$
\lim_{x\rightarrow \infty} \frac{2x^2-x+5 }{ x^2+x+1}
$$
Answer 7:
$$ 2 $$
Question 8:
$$
\lim_{x\rightarrow \infty} \frac{ \mathrm{e}^x-1 }{ 4x }
$$
Answer 8:
$$ +\infty$$
Question 9:
$$
\lim_{x\rightarrow 0} \frac{x-\sin x }{ x^3}
$$
Answer 9:
$$ \frac16 $$