Question

Lim x -> 1 does this mean that 1 is the limit?

Answer 1

That means the limit as x approaches 1, I assume.... what's the context?

Answer 2

There is no context =l I'm just learning Calculus on my own from the basics. the Lim sign is above the x -> 1, does it not show the limit here?

Answer 3

I know that x approaches 1 but I can't remember if that means I have the limit or not yet

Answer 4

if you mean
\[ \lim_{x \rightarrow 1} ( \text{ something...} )\]
Then that is the limit of "something" as x approaches 1.

Answer 5

Okay :) Thought so, so that means no limit is given currently? or is the whole equation a limit

Answer 6

The format for that expression would be like
\[ \lim_{x \rightarrow 1} x^2 + 1 = 2 \]

Answer 7

I have heard someone say before "it approaches the limit 1" or something so I didn't know if the x -> 1 meant x was approaching the limit 1

Answer 8

The above expression means
"As x gets closer and closer to 1, x^2 + 1 gets closer and closer to 2". As x approaches 1, the expression approaches 2.

Answer 9

Ohh that makes more sense :) Sorry I am asking so much, but so does that mean the whole equation is called a limit or is the expression the limit? or the number x approaches

Answer 10

2 is the limit of x^2 + 1 as x approaches 1.

Answer 11

Ohhhhhhh. Okay. Thank you very much