What is taylor e^x-11 ?

The answer to taylor e^x-11 is -10+x+1/2 x^2+1/6 x^3+1/24 x^4+\ldots

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taylor e^x-11

taylor

e^{x} - 11

- 10 + x + \frac{1}{2} x^{2} + \frac{1}{6} x^{3} + \frac{1}{24} x^{4} + \dots

Solution steps

Apply the Taylor Formula

= - 10 + \frac{\frac{d}{d x} ( e ^{x} - 11 ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( e ^{x} - 11 ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( e ^{x} - 11 ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= - 10 + \frac{1}{1 !} x + \frac{1}{2 !} x^{2} + \frac{1}{3 !} x^{3} + \frac{1}{4 !} x^{4} + \dots

Refine

= - 10 + x + \frac{1}{2} x^{2} + \frac{1}{6} x^{3} + \frac{1}{24} x^{4} + \dots

\int_{\frac{π}{4}}^{\frac{π}{2}} sin (x) d x

\int \frac{( ln ( x ^{4} ) )}{x} d x

\frac{\partial}{\partial x} (2 y^{2} x)

\int e^{\frac{1}{x}} - e^{\frac{1}{x + 1}} d x

\frac{d}{d x} (ln (e^{x} - y))

What is taylor e^x-11 ?
The answer to taylor e^x-11 is -10+x+1/2 x^2+1/6 x^3+1/24 x^4+\ldots