What is maclaurin e^{x^4},3 ?

The answer to maclaurin e^{x^4},3 is 1+x^4+1/2 x^8+\ldots

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maclaurin e^{x^4},3

maclaurin

e^{x^{4}}, 3

1 + x^{4} + \frac{1}{2} x^{8} + \dots

Solution steps

Apply the Maclaurin Formula

= 1 + \frac{\frac{d}{d x} ( e ^{x^{4}} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( e ^{x^{4}} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( e ^{x^{4}} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 1 + \frac{0}{1 !} x + \frac{0}{2 !} x^{2} + \frac{0}{3 !} x^{3} + \frac{24}{4 !} x^{4} + \frac{0}{5 !} x^{5} + \frac{0}{6 !} x^{6} + \frac{0}{7 !} x^{7} + \frac{20160}{8 !} x^{8} + \frac{0}{9 !} x^{9} + \frac{0}{10 !} x^{10} + \dots

Refine

= 1 + x^{4} + \frac{1}{2} x^{8} + \dots

\int_{- π}^{π} x^{3} sin (n x) d x

7 - x - x^{2}

\frac{d}{d x} (\frac{x}{5 + x ^{2}})

y^{^{''}} + 9 y = 4 tan (3 x)

y = ln^{2} (x + 3)

What is maclaurin e^{x^4},3 ?
The answer to maclaurin e^{x^4},3 is 1+x^4+1/2 x^8+\ldots