how come calculus can be exact?

From: ashok (arjdombivli_at_indiatimes.com)
Date: 09/05/04 

Date: 5 Sep 2004 11:06:02 -0700

How come calculus gives the exact results despite we are making
approximations(neglecting the infinitesimal which tends to zero) at
its basic definition level?

I am getting very much frustated over it.
Can someone please convince me over the exclusion of the infinitesimal
terms from the definition and still getting the correct results.??

Relevant Pages

  • Re: how come calculus can be exact?
    ... > How come calculus gives the exact results despite we are making ... > approximations(neglecting the infinitesimal which tends to zero) at ... > its basic definition level? ...
    (sci.math)
  • Re: how come calculus can be exact?
    ... > its basic definition level? ... based on a small value h becomes an exact solution when h tends to zero. ...
    (sci.math)
  • Re: how come calculus can be exact?
    ... >approximations(neglecting the infinitesimal which tends to zero) at ... >its basic definition level? ... you are taking a limit of approximations as something goes ... is the exact result. ...
    (sci.math)
  • Re: how come calculus can be exact?
    ... >>approximations(neglecting the infinitesimal which tends to zero) at ... >>its basic definition level? ... You're reading the equations of calculus wrong. ... Calculus gives precise results only in the context of these limits. ...
    (sci.math)