Find the limit:

   lim 3 = ?
  ω → ∞

(The limit of 3 as Omega approaches infinity)

Firstly is we consider the proper method for dealing with such Limit problems, then we see that since 3 is a constant and there is no term/function omega, of which the limit is to be found, so the final value of the limit should be equal to 3. That is, Limit of 3, as omega tends to infinity is equall to 3.

Secondly, this problem can be solved on the basis of the category assigned to the problem. We see that omega when turned through an angle of 90 degrees in the anticlockwise direction, resembles the digit 3 and infinity (∞) when turned through the same angle (90 degrees) in the same direction (anticlockwise) resembles the digit 8, thus implying that 3 tends to 8 and therefore the value of the given limit is equal to 8. That is, Limit of 3, as omega tends to infinity is equall to 8.

Posted by Ravi Raja on 2003-04-28 23:31:09