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opus

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## Main Question or Discussion Point

In my text, it states the Basic Limit Results as follows:

For any real number ##a##, and any constant ##c##,

(i) ##\lim_{x \rightarrow a}{x}=a##

(ii) ##\lim_{x \rightarrow a}{c}=c##

Now from the previous chapter, Im used to seeing these as taking the limit of some

Now for (i), is this saying that we are taking the limit of some x value as our x values close in on some other x value (a), and the limit is the x value that we're closing in on (a)? I don't know what to make of all the x values and it seems quite confusing.

For any real number ##a##, and any constant ##c##,

(i) ##\lim_{x \rightarrow a}{x}=a##

(ii) ##\lim_{x \rightarrow a}{c}=c##

Now from the previous chapter, Im used to seeing these as taking the limit of some

*function*as the x values of that function approach some x value (a). This will give some y value if a limit exists.Now for (i), is this saying that we are taking the limit of some x value as our x values close in on some other x value (a), and the limit is the x value that we're closing in on (a)? I don't know what to make of all the x values and it seems quite confusing.