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Rozvoj funkcí do Taylorovy rady

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<strong>Rozvoj</strong> <strong>funkcí</strong><br />

<strong>do</strong> <strong>Taylorovy</strong><br />

ˇ<strong>rady</strong><br />

Radek Fučík<br />

<strong>Rozvoj</strong><br />

polynomu<br />

v bodě a = 0<br />

v bodě a = 1<br />

v bodě a = 2<br />

<strong>Rozvoj</strong><br />

exponenciály<br />

v bodě a = 0<br />

<strong>Rozvoj</strong> funkce<br />

sinus<br />

v bodě a = 0<br />

v bodě a = π 2<br />

<strong>Rozvoj</strong> funkce sinus<br />

v bodě a = π<br />

2<br />

f (x) = sin x<br />

T20(x) = T21(x) = 10<br />

k=0<br />

(−1) k (x− π<br />

2 ) 2k<br />

(2k)!

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