The Maclaurin series of f(x) if's first four terms should be written outf(0)=2,f′(0)=3,f″(0)=4,f‴(0)=12

Clifland

Clifland

Answered

2021-11-06

The Maclaurin series of f(x) if's first four terms should be written outf(0)=2, f(0)=3, f (0)=4, f (0)=12

Answer & Explanation

Bentley Leach

Bentley Leach

Expert

2021-11-07Added 109 answers

Maclaurin series:
f(x)=n=0f(n)(0)n!xn=f(0)+f(0)x+f(0)2!x2+f(0)3!x3+f(4)(0)4!x4+
Here given f(0)=2,f(0)=3,f(0)=4 and we need to find out the first 4 terms of the Maclaurin Series
f(x)=n=0f(n)(0)n!xn=f(0)+f(0)x+f(0)2!x2+f(0)3!x3+
We need to find 4 terms
f(x)=2+3x+42x2+126x3
f(x)=2+3x+2x2+2x3
Result: f(x)=2+3x+2x2+2x3

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