How do you find the linearization at x=1 of `y = 2/x`?

Related questions

• How do you find the linear approximation of `(1.999)^4` ?
• How do you find the linear approximation of a function?
• How do you find the linear approximation of `f(x)=ln(x)` at `x=1` ?
• How do you find the tangent line approximation for `f(x)=sqrt(1+x)` near `x=0` ?
• How do you find the tangent line approximation to `f(x)=1/x` near `x=1` ?
• How do you find the tangent line approximation to `f(x)=cos(x)` at `x=pi/4` ?
• How do you find the tangent line approximation to `f(x)=e^x` near `x=0` ?
• How do you use the tangent line approximation to approximate the value of `ln(1003)` ?
• How do you use the tangent line approximation to approximate the value of `ln(1.006)` ?
• How do you use the tangent line approximation to approximate the value of `ln(1004)` ?