What is taylor 7tan(x) ?

The answer to taylor 7tan(x) is 7x+7/3 x^3+14/15 x^5+17/45 x^7+62/405 x^9+\ldots

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taylor 7tan(x)

taylor

7 tan (x)

7 x + \frac{7}{3} x^{3} + \frac{14}{15} x^{5} + \frac{17}{45} x^{7} + \frac{62}{405} x^{9} + \dots

Solution steps

Apply the Taylor Formula

= 0 + \frac{\frac{d}{d x} ( 7 tan ( x ) ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 7 tan ( x ) ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 7 tan ( x ) ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 0 + \frac{7}{1 !} x + \frac{0}{2 !} x^{2} + \frac{14}{3 !} x^{3} + \frac{0}{4 !} x^{4} + \frac{112}{5 !} x^{5} + \frac{0}{6 !} x^{6} + \frac{1904}{7 !} x^{7} + \frac{0}{8 !} x^{8} + \frac{55552}{9 !} x^{9} + \dots

Refine

= 7 x + \frac{7}{3} x^{3} + \frac{14}{15} x^{5} + \frac{17}{45} x^{7} + \frac{62}{405} x^{9} + \dots

What is taylor 7tan(x) ?
The answer to taylor 7tan(x) is 7x+7/3 x^3+14/15 x^5+17/45 x^7+62/405 x^9+\ldots