Very nice, Alan....!!!
The employment of the Taylor series is a new one for me....(definitely a "tool chest" item!!)....When I was in school, I always wondered what the Taylor and McLaurin series were actually used for (other than to express something in terms of a polynomial!!)....I'm going to recommend this one as part of Melody's "End of the Day" Highlighted Problems...
Thumbs-Up from me....!!!