hi
0/0 is undefined but 1-r is not zero it only tends to zero so you can cancel it
as long as numerator and denominator are not exactly equal to zero cancellation is valid
sinx/x this you can get in any standard calculus book
bye
normally limits are used when the function is undefined at a particular point.
in ur case
1.since sin(x)/x will become undefined at x=0. the limits are taken
apply l hospital's rule
so cosx/1 ==> 1 at x=0
2. here also since 1-r --> 0 , but not exaclty 0, so we can cancel
secondly as r tends to 1 suppose we have the following equation (1-r^2)/(1-r)
then we cancel out (1-r) from numerator & denom ....whats the logic as (1-r) will tend
Thanks alot.
You sure can use L'Hospital rule to find the limit for the problem.
But I wouldn't say " L'Hospital rule is the right way to solve it".
To understand the fundamental concept of limit, one should start with ''definition of limit".