Respuesta :
The Taylor series expansion of f of x is given by 11e to the fourth power + 22e to the fourth power times x minus two plus 22e to the fourth power multiplied by x minus two all squared, where f of x is equal to 11e to the power of two x in rising powers of x minus two.
What is Taylor series?
An infinite sum of words that are expressed in terms of a function's derivatives at a single point is known as the Taylor series or Taylor expansion of a function in mathematics.
Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions.
For Brook Taylor, who introduced the Taylor series in 1715, they are named after him. When 0 is the point at which the derivatives are taken into account, a Taylor series is also known as a Maclaurin series in honor of Colin Maclaurin, who made great use of this unique situation of Taylor series in the middle of the 18th century.
The nth Taylor polynomial of a Taylor series is a polynomial of degree n that is created by the partial sum of the first n + 1 terms of a Taylor series.
Hence, The Taylor series expansion of f of x is given by 11e to the fourth power + 22e to the fourth power times x minus two plus 22e to the fourth power multiplied by x minus two all squared, where f of x is equal to 11e to the power of two x in rising powers of x minus two.
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