Can I get a new expert please. Please use the Cauchy remainder formula for error estimation if possible. Error is given by the nth $+1$derivative of f$($x$)$times $(($x $-$x$0)($x$-$x$1)...($x$-$xn$))/($n$+1)!.$The function f$($x$)=(1)/(1+25$x$^2)$ is to be approximated by polynomial interpolation based on its values at uniformly spaced points on the interval $[-1,1],$ including the end$-$points. Find error bounds for linear, quadratic and cubic interpolation on $[-1,1].$ What do those bounds suggest?