What a difference two roots make ! (Posted on 2008-05-24)

	Submitted by K Sengupta
Rating: 5.0000 (1 votes)
Solution:	(Hide)
The required limit is equal to 1/2. EXPLANATION: Paul has utilized the Taylor Series to solve the problem, in this location. --------------------------------------------------------------- An alternative methodology is given below: At the outset, we rationalize the numerator by multiplying with: V(y+(Vy+Vy)) + Vy, and substituting y = z-1, we obtain the numerator and the denominator of the expression respectively as V(z-1 + V(z-1)), and V(z-1 + V(z-1+Vz-1)) + Vz-1 Multiplying both the numerator and the denominator by (Vz), the given expression is now equal to: (V(1+Vz))*(V(1+V(z + Vz3)) + 1)-1. Now, since y = 1/z, it follows that z -> 0, as y-> infinity. As z-> 0, the above expression is equal to 1/2, so that the required limit is 1/2

	Subject	Author	Date
	re: a different approach to the same solution	K Sengupta	2008-07-01 12:31:25
	a different approach to the same solution	Paul	2008-05-25 20:17:07
	re: Solution	Charlie	2008-05-25 13:33:08
	Not quite Calculus	brianjn	2008-05-24 22:00:33
	Solution	FrankM	2008-05-24 13:29:49