Integrate the Taylor series e^(−t^2)=sum_(n=0)^oo (−t^2)^n/(n!) term-by-term to obtain the Taylor series for erf (error function) about a = 0.

Ty Moore

Ty Moore

Answered question

2022-11-12

Integrate the Taylor series
e ( t 2 ) = n = 0 ( t 2 ) n n !
term-by-term to obtain the Taylor series for erf (error function) about a = 0.

Answer & Explanation

teleriasacr

teleriasacr

Beginner2022-11-13Added 21 answers

n = 0 ( t 2 ) n n ! d t
= n = 0 ( t 2 ) n n ! d t
= n = 0 ( 1 ) n n ! t 2 n d t
= n = 0 ( ( 1 ) n n ! t 2 n d t )
= n = 0 ( ( 1 ) n n ! t 2 n + 1 2 n + 1 )

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