Tweaks

Author: stevengj

README.md

@@ -106,7 +106,7 @@ x = 0.001953125
 x = 0.000244140625
 (1.0, 0.0)
 ```
-which converged to machine precision (in fact, the exactly rounded result) in only 5 function evaluations (1 fewer than above).
+which converged to machine precision (in fact, the exact result) in only 5 function evaluations (1 fewer than above).
 
 ### Infinite limits
 
@@ -167,7 +167,6 @@ function riddersderiv2(f, x, h; atol=0, rtol=atol>0 ? 0 : sqrt(eps(typeof(float(
     return val[1], val[2]
 end
 ```
-The default
 (This code could be made even more efficient by using [StaticArrays.jl](https://github.com/JuliaArrays/StaticArrays.jl) for the `[f', f'']` vector.)   The original paper by Ridders accomplishes something similar in `< 20` lines of [TI-59 calculator](https://en.wikipedia.org/wiki/TI-59_/_TI-58) code, by the way; so much for high-level languages!
 
 For example,