A brief introduction to Taylor series

Today marks the day where I finally do it. The day that I explain the most powerful and wonderful mathematical formula birthed from calculus. What I feel is personally one of the most beautiful ideas I think the human mind has ever conceived. This beautiful Idea is known as the Taylor series. The Taylor series is a method of turning non polynomial functions into polynomial functions. When I say functions, I mean all of the nice kinds;-trigonometric, exponential, logarithmic. Now, this all probably sounds too good to be true and you may scratch your head in disbelief and ask yourself “How…