Calculus (Tangent Line Approximation)

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Use tangent line approximation to derive an estimate for (1 + x)n , when x is near 0, and n is any real number.

  • Calculus (Tangent Line Approximation - EDIT) -

    Just wanted to make one more clarification, the equation is supposed to be (1 + x)^n.

  • Calculus (Tangent Line Approximation) -

    y = (1+x)^n when x is near zero y is 1
    dy/dx = slope = n (1+x)^(n-1)
    when x is near 0, slope is near n
    so
    y = n x + 1

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