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Approximation Of A Function Around X = 0

Determine the linear approximation of f(x)=2x2xf\left(x\right)=2x^2-x at a=0.

Determine the linear approximation of f(x)=x3+6f\left(x\right)=x^3+6 at a=0.

Determine the linear approximation of f(x)=1xf\left(x\right)=\frac{1}{x} at a=0.

Determine the linear approximation of f(x)=5x^3+6 at a=0.

Determine the linear approximation of at a=0.

Determine the linear approximation of at a=0a=0 .

Determine the linear approximation of f(x)=1x+xf\left(x\right)=\frac{1}{x}+x at a=0.

Determine the linear approximation of at a=0.

Determine the linear approximation of at a=0.

Determine the linear approximation of f(x)=2x2+x3f\left(x\right)=2x^2+x-3 at a=0.