How Do You Correctly Format Limits and Derivatives in LaTeX?

[Math Amateur]

I have just posted an edit to my (very) recent post:

[h=1]http://mathhelpboards.com/analysis-50/apostol-continuity-amp-differentiabilty-14190.html[/h]in the Analysis Forum.

I am having trouble with the following Latex expression:\text{lim}_{x \rightarrow c} f^* (x) = \text{lim}_{x \rightarrow c} frac{f(x) - f(c)}{x-c} = f^'(c) = f^*(c) = f^*(c)
Can someone help me to get it right?

(I am assuming that experienced Latex users can see what I am trying to achieve ... )

Peter

 

[Prove It]

I have just posted an edit to my (very) recent post:

[h=1]http://mathhelpboards.com/analysis-50/apostol-continuity-amp-differentiabilty-14190.html[/h]in the Analysis Forum.

I am having trouble with the following Latex expression:\text{lim}_{x \rightarrow c} f^* (x) = \text{lim}_{x \rightarrow c} frac{f(x) - f(c)}{x-c} = f^'(c) = f^*(c) = f^*(c)
Can someone help me to get it right?

(I am assuming that experienced Latex users can see what I am trying to achieve ... )

Peter

\lim_{x \to c} f^*(x) = \lim_{x \to c} \frac{f(x) - f(c)}{x - c} = f'(c)

inside the LaTeX environment this gives

$\displaystyle \lim_{x \to c} f^*(x) = \lim_{x \to c} \frac{f(x) - f(c)}{x - c} = f'(c) $

 

[Math Amateur]

\lim_{x \to c} f^*(x) = \lim_{x \to c} \frac{f(x) - f(c)}{x - c} = f'(c)

inside the LaTeX environment this gives

$\displaystyle \lim_{x \to c} f^*(x) = \lim_{x \to c} \frac{f(x) - f(c)}{x - c} = f'(c) $

Thanks for the help, Prove It ... have now corrected my post in the Analysis Forum

By the way, i found that the Latex editor was still objecting to

f^' and seems to insist on f'

Not sure why f^' is an error?

Peter

 

[MarkFL]

Hello Peter,

While I cannot explain why, it does seem that f^' throws an error while f^{'} does not. You could also use f^\prime as well. :D

I assume you noticed by reading Prove It's post that for pre-defined functions (such as lim) all you need is to precede it with a backslash in order for it to render non-italicized.

 

[Math Amateur]

Hello Peter,

While I cannot explain why, it does seem that f^' throws an error while f^{'} does not. You could also use f^\prime as well. :D

I assume you noticed by reading Prove It's post that for pre-defined functions (such as lim) all you need is to precede it with a backslash in order for it to render non-italicized.

Thanks Mark ... thanks for clarifying that ...

Yes, noted that lim was a pre-defined function ...

Thanks again,

Peter