Recall that (0, (1)/(n)) = {x ∈ℝ : 0 < x < (1)/(n)}. Prove that ⋂i=1^∞(0, (1)/(n)) = ∅.

Name: Recall that (0, (1)/(n)) = {x ∈ℝ : 0 < x < (1)/(n)}. Prove that ⋂i=1^∞(0, (1)/(n)) = ∅.
Uploaded: 2021-06-11T21:08:56-08:00
Duration: 1 min 48 s
Channel: Wendi Zhao
Description: Recall that (0, (1)/(n)) = {x ∈ℝ : 0 < x < (1)/(n)}. Prove that ⋂i=1^∞(0, (1)/(n)) = ∅.

Note that log y minus log x over y minus x and log y can be rewritten as the integral from 1 to

Question

Recall that $\left(0, \frac{1}{n}\right) = \{x \in \mathbb{R} : 0 < x < \frac{1}{n}\}$. Prove that $\bigcap_{i=1}^{\infty} \left(0, \frac{1}{n}\right) = \emptyset$.

          Recall that $\left(0, \frac{1}{n}\right) = \{x \in \mathbb{R} : 0 < x < \frac{1}{n}\}$. Prove that $\bigcap_{i=1}^{\infty} \left(0, \frac{1}{n}\right) = \emptyset$.

$Recall that (0, (1)/(n)) = {x ∈ℝ : 0 < x < (1)/(n)}. Prove that ⋂i=1^∞(0, (1)/(n)) = ∅.$