EDUCATION FOR BETTER TOMMROW
Saturday, 9 August 2014
chapter 6 Some Standard Limits 2
This limit is of the indeterminate form
. We can easily evaluate this limit based on the previous limit.
(Property of log)
This limit can alternatively be evaluated by using the expansion series for
(All other terms involving
This is just an obvious extension of the previous limit
We have used the following property of logarithms above:
This is again an extension of the limits seen previously. Let
. This gives
Hence, we have the limit L as
Note that for
, this limit is
is an integer, it is easy to see that the above relation holds because
can be expanded as
Now we have
. Now expand
using the Binomial theorem for a general index.For the general case, let
(all other terms tend to
August 09, 2014
Share to Twitter
Share to Facebook
Share to Pinterest
Post a Comment
Post Comments (Atom)
#Transformation of Complex Functions : Mapping of Z plane in to W plane ...
CBSE NCERT CLASS 12 MATHS SOLUTIONS
Dear students here i offers Free Online NCERT Solutions of class 12 math text book Chapters. i tried to solved maths problem step wise in...
CBSE NCERT CLASS 11 MATHS SOLUTIONS
dear students i am very happy to announce that on demands of many students from various parts of country therefore after solutions of...
CBSE CLASS 10 MATHS NCERT SOLUTIONS
Dear students i am very happy to announce that on demands of many students from various parts of country i am today here giving CBSE C...