What is taylor 1.5e^{2x} ?

The answer to taylor 1.5e^{2x} is 1.5+3x+3x^2+2x^3+x^4+\ldots

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taylor 1.5e^{2x}

taylor

1.5 e^{2 x}

1.5 + 3 x + 3 x^{2} + 2 x^{3} + x^{4} + \dots

Solution steps

Apply the Taylor Formula

= 1.5 + \frac{\frac{d}{d x} ( 1.5 e ^{2 x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 1.5 e ^{2 x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 1.5 e ^{2 x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 1.5 + \frac{3}{1 !} x + \frac{6}{2 !} x^{2} + \frac{12}{3 !} x^{3} + \frac{24}{4 !} x^{4} + \dots

Refine

= 1.5 + 3 x + 3 x^{2} + 2 x^{3} + x^{4} + \dots

f (x) = x \cdot sin (x)

g (t) = 6 t

\frac{d}{d x} (\frac{2}{x ^{3}} + \frac{5}{x ^{2}})

\int x 4 x - 1 d x

\frac{d y}{d x}, 6 e^{x y} - x = 0

What is taylor 1.5e^{2x} ?
The answer to taylor 1.5e^{2x} is 1.5+3x+3x^2+2x^3+x^4+\ldots