Talk:Introduction to Calculus/Limits
Sandwitch Theroem and sin(x)/x as x approaches 1 ought to be put in
The Other Introduction to Limits Course[edit source]
The is other course located on Calculus/Limits should be merged to here, even though it is more engineer orientated?
--Lucas Gallindo 21:57, 28 September 2006 (UTC)
- Which do you think is better for presenting the material? I guess there are benefits to both approaches. Leave them separate, but perhaps add links at the top to indicate their co-existence? --HappyCamper 01:16, 29 September 2006 (UTC)
- My vote is to rename one to "Calculating Limits" and the other to "Limit Theory".
--Lucas Gallindo 19:45, 29 September 2006 (UTC)
- Perhaps limits in mathematical analysis/calculus, but not limit theory.--Hillgentleman 14:11, 28 October 2006 (UTC)
Definition of limit[edit source]
Is using language like "the value a function approaches" actually any easier to understand than the topological epsilon-delta definition? Most people have an innate understanding of the concept of "distance" and the epsilon-delta definition is easily stated so I don't see the point in omitting it here. Without it, it may be somewhat less clear to the reader when exactly a limit exists and when it does not exist. It also seems vaguely circular to speak about "continuity of a function" before properly defining what a limit is. The usual sequence of definitions limit -> continuity at a point -> continuity of a function is not particularly long or hard to digest. Does anyone think it would be better to set out the basic definitions first and then reinforce them with examples and intuitive descriptions, rather than putting the examples and informal descriptions first and hoping the reader "gets it"? AP295 (discuss • contribs) 18:34, 19 March 2021 (UTC)