This is a continuation from 'Progressions' video, yet 'Series' is such an underrated topic, particularly inside Further Maths in some college courses. This video explains the fundamentals where rigorous proof is needed (eg. complex numbers involving e, imaginary numbers, sin & cos functions).
Timeline
Introduction: 0:00
Sum of Natural Numbers: 1:15
Taylor Series: 2:45
Maclaurin Series: 3:51
Note: This video uses online materials from various sources and handwritten work is made by the creator. Take note that the creator has little understanding rationale for the squared and cubed natural number series.
Source: iMath, GraphicMaths, Cuemath and Dev Genius