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## Main Question or Discussion Point

Hi! I am a 16 year old trying to figure out the application of taylor series. I understand most of its uses when applied to functions like e^x, sinx, cosx, but in a mechanics book, i am required to find delta-F, a finite change in a function F. Ostensibly, this appears to be a step that needs the application of taylor series, so can anyone help me to explain slowly and clearly how taylor series can be applied to delta-F? (sorry i do not know how to use symbols and stuff)