Questions: 1/2 lim as n approaches +∞ (1 - 1/(2n+1)) =

To solve this limit problem, we need to evaluate the expression inside the limit as \( n \) approaches infinity. The expression \( 1 - \frac{1}{2n+1} \) approaches 1 as \( n \) becomes very large because the fraction \( \frac{1}{2n+1} \) approaches 0. Therefore, the limit of the expression is 1. Finally, multiply the result by \(\frac{1}{2}\).

Consideramos la expresión \( \lim_{n \rightarrow +\infty} \left(1 - \frac{1}{2n+1}\right) \). A medida que \( n \) se aproxima a infinito, el término \( \frac{1}{2n+1} \) se aproxima a 0. Por lo tanto, la expresión se convierte en:

\[ \lim_{n \rightarrow +\infty} \left(1 - \frac{1}{2n+1}\right) = 1 \]

Ahora, multiplicamos el resultado del límite por \( \frac{1}{2} \):

\[ \frac{1}{2} \cdot 1 = \frac{1}{2} \]

El resultado final de la expresión original es:

\[ \boxed{\frac{1}{2}} \]