### 5.20.2 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)