Approximation / Leibniz
Can you help me solve this problem using Leibniz theorem?
How many terms are needed in the taylor expansion of cos x to computer cos x for x<0.5 accurate to 12 decimal places (rounded)? The answer in the book is "at least 7 terms". But I need hints. I started with x^(2[n+1])/(2[n+1])! < 10^12, but I didn't know how to continue.
