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Linearization Of Rational Functions

Determine the linear approximation of at a=0.

Determine the linear approximation of f(x)=(x+1)(x2)f\left(x\right)=\frac{\left(x+1\right)}{\left(x-2\right)} at a=1.

Determine the linear approximation of at a=1.

Determine the linear approximation of at a=-1.

Determine the linear approximation of at a=1.

Determine the linear approximation of at a=0.

Determine the linear approximation of f(x)=x+3x3f\left(x\right)=\frac{x+3}{x-3} at a=1.

Determine the linear approximation of f(x)=x+3x3f\left(x\right)=\frac{x+3}{x-3} at a=0.

Determine the linear approximation ofat a=2a=2

Determine the linear approximation of at a=0.