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Calculus

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Find the linear approximation L(x) of
ln(x)at the point a = 12.

  • Calculus -

    L(x)=ln(z)+delta(x-z)*dL/dx

    L(x)=ln(12)+1/12*(x-12)
    so for example, what is Ln(13):
    Ans: Ln(13)=ln(12)+1/12*1

    checking that from a calculator:
    ln(12)== 2.48490665
    ln(13)== 2.56494936
    difference 0.08004271
    1/12== 0.0833333333

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