Recent content by acazosa

  1. A

    Proving Monotonicity in the Dominated Convergence Theorem

    sin(x/n) it s monotone just on some interval...I m sure that f_{n} it s not monotone jou can easily see that on wolframalpha, i m just guessing how to solve the integral with monotone convergence theorem.
  2. A

    Proving Monotonicity in the Dominated Convergence Theorem

    1. Homework Statement So i have to solve this integral with dominate convergence theorem. How can i prove that the sequence f_{n} it s monotone? \lim_{n \rightarrow +infty} \int_{0}^{+infty} \frac{1 -sin(\frac{x}{n})}{\sqrt(x^2 +\frac{1}{2}}