### Related

example(mult);

Calculate

example (limit);

Calculate

Calculate

example(help);

Calculate

##### example-partfrac

example(partfrac);

Calculate

example(num);

Calculate

example(mult);

Calculate

##### example-maplist

example(maplist);

Calculate

example(limit);

Calculate

##### example-partfrac

example(partfrac);

Calculate

### example

Run Example
```(%i1)load(draw);
(%o1)            /usr/share/maxima/5.21.1/share/draw/draw.lisp
(%i2) f:(x-1)^3/((x-2)*x^2);
3
(x - 1)
(%o2)                             ----------
2
(x - 2) x
(%i3) factor(diff(f,x));
2
(x - 4) (x - 1)
(%o3)                          ----------------
2  3
(x - 2)  x
(%i4) factor(diff(f,x,2));
3      2
2 (x - 1) (x  - 8 x  + 16 x - 12)
(%o4)                 - ---------------------------------
3  4
(x - 2)  x
(%i5) subst(3,x,f);
8
(%o5)                                  -
9
(%i6) taylor(f,x,1,10);
3          4            5            6            7
(%o6)/T/ - (x - 1)  + (x - 1)  - 2 (x - 1)  + 2 (x - 1)  - 3 (x - 1)
8            9            10
+ 3 (x - 1)  - 4 (x - 1)  + 4 (x - 1)   + . . .
(%i7) integrate (f,x,3,4);
15 log(3) - 34   10 log(4) - 2 log(2) - 31
(%o7)             -------------- - -------------------------
12                     8
(%i8) integrate (f,x);
5 log(x)   log(x - 2)        1
(%o8)                  - -------- + ---------- + x - ---
4           4            2 x
(%i9) example(draw2d);
(%o9)                                done
(%i10) draw2d(explicit(f,x,3,4));
plotplot2d (f,[x,3,4]);
plot```
Run Example
```example(limit);

(%i1)
(%i2) limit(x*log(x),x,0,plus)
(%o2)                                  0
(%i1)
(%i3) limit((x+1)^(1/x),x,0)
(%o3)                                 %e
(%i1)
(%i4) limit(%e^x/x,x,inf)
(%o4)                                 inf
(%i1)
(%i5) limit(sin(1/x),x,0)
(%o5)                                 ind
(%o5)                                done
(%i6) limit(x^2+1,x,2);
(%o6)                                  5
(%i7) ```
Run Example
```example(limit);

(%i1)
(%i2) limit(x*log(x),x,0,plus)
(%o2)                                  0
(%i1)
(%i3) limit((x+1)^(1/x),x,0)
(%o3)                                 %e
(%i1)
(%i4) limit(%e^x/x,x,inf)
(%o4)                                 inf
(%i1)
(%i5) limit(sin(1/x),x,0)
(%o5)                                 ind
(%o5)                                done
(%i6) limit(x^2+1,x,2);
(%o6)                                  5
(%i7) limit((x^2-9)/(x-3),x,3);
(%o7)                                  6
(%i8) ```

Help for Example