Draw a function image:
y=ln(x)
y=(x-1)
y=(x-1)-(x-1)^2/2
y=(x-1)-(x-1)^2/2+(x-1)^3/3
y=(x-1)-(x-1)^2/2+(x-1)^3/3-(x-1)^4/4
y=(x-1)-(x-1)^2/2+(x-1)^3/3-(x-1)^4/4+(x-1)^5/5
y=(x-1)-(x-1)^2/2+(x-1)^3/3-(x-1)^4/4+(x-1)^5/5-(x-1)^6/6
y=(x-1)-(x-1)^2/2+(x-1)^3/3-(x-1)^4/4+(x-1)^5/5-(x-1)^6/6+(x-1)^7/7
y=(x-1)-(x-1)^2/2+(x-1)^3/3-(x-1)^4/4+(x-1)^5/5-(x-1)^6/6+(x-1)^7/7-(x-1)^8/8
y=(x-1)-(x-1)^2/2+(x-1)^3/3-(x-1)^4/4+(x-1)^5/5-(x-1)^6/6+(x-1)^7/7-(x-1)^8/8+(x-1)^9/9
y=(x-1)-(x-1)^2/2+(x-1)^3/3-(x-1)^4/4+(x-1)^5/5-(x-1)^6/6+(x-1)^7/7-(x-1)^8/8+(x-1)^9/9-(x-1)^10/10