#### Agent Smith

##### Junior Member

- Joined
- Oct 18, 2023

- Messages
- 244

This was taught to me:

\(\displaystyle \displaystyle \lim_{x \to 0} \frac{1}{x} = \infty\) (A)

1. A graph or a table will quasi-verify the equality.

2. y = 0 or the y axis is the vertical asymptote

But \(\displaystyle \frac{1}{0} \ne \infty\), it's undefined (B)

What's the difference between

\(\displaystyle \displaystyle \lim_{x \to 0} \frac{1}{x}\) (A) and \(\displaystyle \frac{1}{0}\) (B)?

\(\displaystyle \displaystyle \lim_{x \to 0} \frac{1}{x} = \infty\) (A)

1. A graph or a table will quasi-verify the equality.

2. y = 0 or the y axis is the vertical asymptote

But \(\displaystyle \frac{1}{0} \ne \infty\), it's undefined (B)

What's the difference between

\(\displaystyle \displaystyle \lim_{x \to 0} \frac{1}{x}\) (A) and \(\displaystyle \frac{1}{0}\) (B)?

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