Serie de Taylor

Nétjdjs Hunérikjs

CG [A\IA DA TGYCJ\. Vrjpjrkijhg uh nadij pgrg pradakir ac vgcjr da uhg euhkiûh ah uh puhtj ah térnihjs dac vgcjr da cg euhkiûh y sus darivgdgs ah jtrj puhtj. Ah pgrtikucgr, ac tajrang astglcaka qua kugcquiar euhkiûh sugva puada gprjxingrsa pjr uh pjcihjnij.

Qhg luahg ngharg da kjnprahdar cg saria da Tgycjr kjhsista ah kjhstruircg térnihj pjr térnihj. Vjr a`anpcj, ac prinar térnihj da cg saria as0

Astg racgkiûh, ccgngdg cg gprjxingkiûh da

jrdah karj,

ihdikg qua ac vgcjr da e ah ac huavj

puhtj as ac nisnj qua su vgcjr ah ac puhtj ghtarijr. Tgc rasuctgdj tiaha uh sahtidj ihtuitivj, yg qua si  xi y  xi +7 +7 astçh nuy prûxings ahtra sî, ahtjhkas as nuy prjlglca qua ac huavj vgcjr sag sinicgr gc ghtarijr.

[ih anlgroj, si cg euhkiûh kgnlig ah ac ihtarvgcj, ahtjhkas sa raquiarah cjs térnihjs gdikijhgcas da cg saria da Tgycjr, pgrg jltahar uhg na`jr gprjxingkiûh. • prinar jrdah

• saouhdj jrdah

Da ngharg sinicgr, sa goraogh térnihjs gdikijhgcas pgrg dasgrrjccgr cg axpghsiûh kjnpcatg da cg saria da T Tgycjr0 gycjr0

[a ihkcuya uh térnihj rasidugc pgrg kjhsidargr tjdjs cjs térnihjs dasda ac h + 7 bgstg iheihitj0

djhda ac sulîhdika h ihdikg qua ésta as ac rasiduj da cg gprjxingkiûh da hh-ésinj ésinj jrdah y θ as uh vgcjr da x da x qua sa ahkuahtrg ah gcoðh puhtj ahtra xi ahtra xi y xi +c. +c.

Kjh erakuahkig as kjhvahiahta sinpcieikgr cg saria da Tgycjr daeihiahdj uh tgng÷j da pgsj j ihkranahtj b >  xi +7 +7  ‛ xi y axprasghdj cg akugkiûh kjnj0