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Use the linearization approximation (1+x)^k=1+kx to find an approximation for the function f(x)=(1/square root of 4+x) for values of x near zero.

  • calculus -

    f(x)=(4+x)^1/2= 2(1+x/4)^1/2=2(1+x/8)

    check that.

  • calculus -

    It should be ^-1/2

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