### 5.19.2 Integral and limit

Just two examples :

- Find the limit, when a approaches +∞, of :

  ∫ |
  a
  2
  1
  x2
  | dx

  Input :
  limit(integrate(1/(x`^`2),x,2,a),a,+(infinity))
  Output (if a is assigned then input purge(a)) :
  1/2
- Find the limit, when a approaches +∞, of :

  ∫ |
  a
  2
  | ( |
  x
  x2−1
  | +ln( |
  x+1
  x−1
  | )) dx

  Input :
  limit(integrate(x/(x`^`2-1)+log((x+1)/(x-1)),x,2,a),
  a,+(infinity))
  Output (if a is assigned then input purge(a)) :
  +(infinity)