# Numerical Analysis/Neville's algorithm quiz

 ${\displaystyle P_{i,j}(x)={\frac {(x_{j}-x)P_{i,j-1}(x)+(x-x_{i})P_{i+1,j}(x)}{x_{j}-x_{i}}}}$. ${\displaystyle P_{i,j}(x)={\frac {(x_{j}+x)P_{i,j-1}(x)+(x-x_{i})P_{i+1,j}(x)}{x_{j}+x_{i}}}}$. ${\displaystyle P_{i,j}(x)={\frac {(x_{j}-x)P_{i,j+1}(x)+(x-x_{i})P_{i-1,j}(x)}{x_{j}-x_{i}}}}$.
3 Approximate ${\displaystyle {\sqrt {x}}}$ at ${\displaystyle f(6)}$ using ${\displaystyle x_{0}=1,x_{1}=4,}$ and ${\displaystyle x_{2}=9}$.