What is maclaurin 4sin(x) ?

The answer to maclaurin 4sin(x) is 4x-2/3 x^3+1/30 x^5-1/1260 x^7+1/90720 x^9+\ldots

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maclaurin 4sin(x)

maclaurin

4 sin (x)

4 x - \frac{2}{3} x^{3} + \frac{1}{30} x^{5} - \frac{1}{1260} x^{7} + \frac{1}{90720} x^{9} + \dots

Solution steps

Apply the Maclaurin Formula

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

Evaluate Derivatives

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

Refine

= 4 x - \frac{2}{3} x^{3} + \frac{1}{30} x^{5} - \frac{1}{1260} x^{7} + \frac{1}{90720} x^{9} + \dots

\frac{5}{s + 5}

\frac{2 s + 1}{s ^{2} + 2 s + 10}

\int \frac{8}{5 t 25 t ^{2} - 25} d t

\frac{d}{d x} (\frac{x ^{2} - 2 x - 3}{x + 2})

\int sin^{2} (v) d v

What is maclaurin 4sin(x) ?
The answer to maclaurin 4sin(x) is 4x-2/3 x^3+1/30 x^5-1/1260 x^7+1/90720 x^9+\ldots