Question

Develop the function g(x) = sin(x)/x using Taylor series centered at 0

Answer 1

How would you demonstrate that the limit x->0 of sin(x)/x = 1 using the above series?

Answer 2

u can expand the series, it's 1-x^2/3! +x^4/5!-x^6/7! ....., replace x by 0, then only 1 left

Answer 3

Thanks! and lastly, how many terms of the series minimum do you need to integrate to calculate the integral with at least 3 decimals of precision?