What is maclaurin e^θ ?

The answer to maclaurin e^θ is sum from n=0 to infinity of (x^n)/(n!)

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maclaurin e^θ

maclaurin

e^{θ}

n = 0 \sum \infty \frac{x ^{n}}{n !}

Solution steps

Apply the Maclaurin Formula

= 1 + \frac{\frac{d}{d θ} ( e ^{θ} ) ( 0 )}{1 !} θ + \frac{\frac{d ^{2}}{d θ ^{2}} ( e ^{θ} ) ( 0 )}{2 !} θ^{2} + \frac{\frac{d ^{3}}{d θ ^{3}} ( e ^{θ} ) ( 0 )}{3 !} θ^{3} + \dots

Evaluate Derivatives

= 1 + \frac{1}{1 !} θ + \frac{1}{2 !} θ^{2} + \frac{1}{3 !} θ^{3} + \frac{1}{4 !} θ^{4} + \dots

The series sum representation

= n = 0 \sum \infty \frac{x ^{n}}{n !}

\frac{d}{d x} (cot (π) x)

f (x) = 3 e^{3 x}

\int \frac{sin ( 2 x )}{3 + cos ( 2 x )} d x

1 + 6 t

What is maclaurin e^θ ?
The answer to maclaurin e^θ is sum from n=0 to infinity of (x^n)/(n!)