# List of functions used for infinitesimal approaching.
# An item in this list will be picked randomly at each exercise.
# Structure of item: multi-line.
# line 1 is function description.
# line 2 is x_0.
# line 3 is order function.
# The rest is values for parameters c1, c2, etc.
# Different items are separated by lines starting with `:'.

:c3(a1+a2*x+a3*x^2+a4*x^3+a5*x^4)+c1+c2
 0
 o
 -9,-8,-7,-6,-5,-4,-3,-2,2,3,4,5,6,7,8,9
 2^x,sin(x),cos(x),x,x^2,x^3,(x^2+x),(x^2-x),arctg(x)
 exp,1/
:a1*sqrt(1+a2*x^2+a3*x^4+a4*x^6+a5*x^8)+c1+c2*c3
 0
 2*o
 -9,-8,-7,-6,-5,-4,-3,-2,-1,1,2,3,4,5,6,7,8,9
 -9,-8,-7,-6,-5,-4,-3,-2,2,3,4,5,6,7,8,9
 x^2,sin(x^2),cos(x),cos(2*x),exp(x^2),ch(x)
:a1*cos(x)+a2*sin(x)+a3*ch(x)+a4*sh(x)+a5*x^4+c1+c2*c3
 0
 o
 -9,-8,-7,-6,-5,-4,-3,-2,-1,1,2,3,4,5,6,7,8,9
 -9,-8,-7,-6,-5,-4,-3,-2,2,3,4,5,6,7,8,9
 x^2,sin(x^2),cos(2*x),exp(x^2),(x+x^2),(x-x^2),ln(1+x),3^x

