x2 f(x) = e* = 1 + x + x3 x < 0 2! 3!' +
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Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001.
Concept used:
Taylor expansion is used to calculate the approximate values of functions.
Error term for given polynomial:
According to the question:
Multiply both sides by :
Take fourth root on both sides:
Step by step
Solved in 3 steps
