# 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 `:'.

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

