\subsubsection {}
Po��tejte integr�l $\int\limits_{0}^1 e^{-x^2} dx$, 
$\int\limits_{0.5}^{1.5} \frac{\log x}{x} dx$ s pomoc� Taylorovy v�ty s 
p�edepsanou p�esnost�!

\subsubsection {}
Na kruhu konvergence se�t�te mocninn� �ady}

1. ${\sum\limits_{k=0}^\infty}{x^{2k+1}\over 2k+1}$\quad 

2. ${\sum\limits_{k=0}^\infty}{(-1)^k
x^{2k+1}\over 2k+1}$\quad 

3. ${\sum\limits_{k=1}^\infty} k x^k$\quad 

4. ${\sum\limits_{k=1}^\infty} (-1)^k k^2 x^k$
\quad 

5. ${\sum\limits_{k=0}^\infty}{x^{2k}\over (2k)!}$

6. ${\sum\limits_{k=1}^\infty} {x^k\over k(k+1)}$\quad 

7. ${\sum\limits_{k=1}^\infty} k(k+1)x^k$\quad

8. $1+{\sum\limits_{k=1}^\infty}{(2k-1)!!\over(2k)!!}x^k$\quad 

9. ${\sum\limits_{k=0}^\infty}{x^{4k}\over (4k)!}$

