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

nuais6lfp

nuais6lfp

Answered question

2021-11-29

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)=2+x2

Answer & Explanation

Daniel Williams

Daniel Williams

Beginner2021-11-30Added 14 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)=2+x2=2(1+x22)=2(1+x22)122(1+1234x)=2(1+x24)
Result:
f(x)2(1+x24)

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