About limits

• theWEIRDme

  6 Jan 11, 17:14

  While doing my homework, i have realised that limits are always used. May i ask why must we limit something to a number? What is the use of limits?
• wee_ws

  6 Jan 11, 18:36

  Hi,

    We see the use of limits in these specific contexts within H2 Maths, just to mention a few:

    1. Geometric series,

    2. Method of differences,

    3. Binomial expansions,

    4. Maclaurin series,

    5. Graphs.

    Limits are interesting because there exist a finite number (value or number of terms) in a case where one has to deal with an infinite quantity.

    Limits also deal with behaviours when we discuss about neighbourhoods, as such the limit of (sin x)/x as x approaches to 0.

    In short, we learn about limits to appreciate

    1. the finite in the infinite,

    2. the characteristic of some neighbourhood value.

  P.S. I have modified the title to reflect the true nature of this discussion. Thank you for your understanding, theWEIRDme.

    Thanks.

  Cheers,
  Wen Shih

• SBS2601D

  6 Jan 11, 23:45

  Limits exist because we like our lives to be easier when doing maths.

  And also because certain functions tend to but does not include certain values.