If #x# is nearly equal to one, then find the approximate value of #{mx^m-nx^n}/{m-n}#?
2 Answers
Another route to his approximation is given below.
Explanation:
If
Better Approximation
We can use the equation of the tangent line at
We'll get
So we need:
We find
Giving linearization at
See below.
Explanation:
Making
but
then
but
and finally