Answer:
Here we just want to find the Taylor series for f(x) = ln(x), centered at the value of a (which we do not know).
Remember that the general Taylor expansion is:
for our function we have:
f'(x) = 1/x
f''(x) = -1/x^2
f'''(x) = (1/2)*(1/x^3)
this is enough, now just let's write the series:
This is the Taylor series to 3rd degree, you just need to change the value of a for the required value.
The equation representing Max's number is .
In its simplest form in algebra, the definition of an equation may be a mathematical statement that shows that two mathematical expressions are equal. It consists of variables dependent and independent variables. They can be linear or non-linear in nature.
Let the number Max is thinking be 'x'
He adds 8 to the number and then he doubles the sum.
Sum means we are adding a number to x, in this case it is 8.
Double the number means twice the given number in this case it is twice the sum of number with 8.
As per the statement:
The expression to represents Max's number
=
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