Q:
# What Is the Taylor Series of Ln(x)?

The Taylor series expansion of ln(x) around a point x = a is ln(x) = ln(a) + (x-a)/a - ((x-a)^2)/(2 a^2) + ((x-a)^3)/(3 a^3) - ...

Continue ReadingThe Taylor series of ln(x) can be derived from the standard Taylor series formula, f(x) = f(a) + f'(a)(x-a) + f''(a)/2! (x-a)^2 + f'''(a)/3! (x-1)^3 + ... where f'(a) denotes the first derivative of function f(x) at x = a, f''(a) denotes the second derivative of f(x) at x = a and so on. By noting that the first derivative of ln(x) is 1/x, it is straightforward to derive the Taylor series for ln(x).

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Q:
## What Is the Y=(ln)x Equation?

A: The equation y = ln(x) states that y is equal to the natural logarithm of x. The natural logarithm is defined as the area under the curve of y = 1/t betwee... Full Answer >Filed Under: -
Q:
## What Is the Rule for Ln X 1?

A: The function of ln(x*1) can be expressed using the product rule as ln(x) + ln(1). The function of ln(x^1) can use the power rule to result in 1 x ln(x). Full Answer >Filed Under: -
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## How Do You Find the X-Intercept?

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Q:
## What Is the Derivative of Ln(2x)?

A: The derivative of ln(2x) is 1/x. This is due to the rules of derived logarithmic expressions, which state that the derivative of ln(ax), where "a" is any r... Full Answer >Filed Under: