# 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 `:'.

:ln(a2*x+a1)+c1*x+c2 
 0
 o
 -5,-4,-3,-2,2,3,4,5
 -5,-4,-3,-2,2,3,4,5
:ln(c2*x+c1)+a1+a2*x 
 0
 o
 1,2,3,4,5
 2,3,4,5
:1/(a1*x+a2)+c1*e^x
 0
 o
 -5,-4,-3,-2,2,3,4,5
:a1*exp(c1*x)+a2*ln(c2+x)
 0
 o
 -5,-4,-3,-2,2,3,4,5
 2,3,4,5
:c1*sin(a1*x+a2*x^3)+c2*x
 0
 2*o+1
 -5,-4,-3,-2,2,3,4,5
 -5,-4,-3,-2,2,3,4,5
:c1*tg(a1*x+a2*x^3)+c2*x
 0
 2*o+1
 -5,-4,-3,-2,2,3,4,5
 -5,-4,-3,-2,2,3,4,5
:a1*sqrt(1+a2*x^2)+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)

