What is taylor e^{0.42x} ?

The answer to taylor e^{0.42x} is 1+0.42x+0.0882x^2+0.012348x^3+0.00129654x^4+\ldots

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taylor e^{0.42x}

taylor

e^{0.42 x}

1 + 0.42 x + 0.0882 x^{2} + 0.012348 x^{3} + 0.00129654 x^{4} + \dots

Solution steps

Apply the Taylor Formula

= 1 + \frac{\frac{d}{d x} ( e ^{0.42 x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( e ^{0.42 x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( e ^{0.42 x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 1 + \frac{0.42}{1 !} x + \frac{0.1764}{2 !} x^{2} + \frac{0.074088}{3 !} x^{3} + \frac{0.03111696}{4 !} x^{4} + \dots

Refine

= 1 + 0.42 x + 0.0882 x^{2} + 0.012348 x^{3} + 0.00129654 x^{4} + \dots

\int \frac{- 2 x}{1 - x ^{2}} d x

x \to - 2 lim (\frac{2 x ^{2}}{x + 2})

\int 3 z d z

\int \frac{7}{x - 3} d x

y^{^{'}} = \frac{2 x sec ( \frac{y}{x} ) + y}{x}

What is taylor e^{0.42x} ?
The answer to taylor e^{0.42x} is 1+0.42x+0.0882x^2+0.012348x^3+0.00129654x^4+\ldots