MATH1021 Lecture Notes - Lecture 8: Royal Institute Of Technology, Exponential Growth, Binomial Series

• School: University of Sydney
• Department: Mathematics
• Course: MATH1021
• Professor: Haotian Wu

Document Summary

Def of the terms in the sequence . An go a azt oo t an. Painted the sum of part of the series. If this limit exists the series dne converges diverges. Rn diverges ( see pp course notes. 151-2 for proof) series series of x a is a function f ( assumed any diff. Tlx ) = ftp. t ( x k. Tlx ) converge at other x ? eg f- ( x ) 1 f ( 0 ) converges at x= Rr ( x ) = f ( x ) Taylorserieslf him rnlx ) convergence for some lest of. Taylor series to f of f that at converges point. For f 1 x ) =e lying rklx )=0 t xe. V-xer e as a series . fagnaowrifnl > ( proof in. Swanton f ( x ) sinoad write notes course we. =o can even i. e . cos e =ix+xi sinx x aosx.