Use the linear approximation (1+x)^{k}\approx 1+kx to find an approximation

chanyingsauu7

chanyingsauu7

Answered question

2021-12-02

Use the linear approximation (1+x)k1+kx to find an approximation for the function f(x) for values of x near zero.
f(x)=(1x)6

Answer & Explanation

Mary Ramirez

Mary Ramirez

Beginner2021-12-03Added 19 answers

Use the linear approximation (1+x)k1+kx to find an approximation for the following functions for values of x near zero.
f(x)=(1x)6=[1+(x)]61+6(x)=16x
Result:
f(x)16x

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