Answer:
0.23.
Explanation:
We can use the formula L(x) = f(a) + f'(a)(x-a)
Our f(x) is clearly ln(x), while a = 1. At a=1, ln(1) = 0, therefore f(a) = 0.
We then need to find the derivative of ln(x), which is 1/x. Therefore f'(a) = 1/a, and with a = 1, f'(a) is therefore 1.
Finally, x is equal to 1.23. Substituting this value in for x in the formula results in:
L(x) = 0 + 1 ( 1.23 - 1)
Giving us a final answer of 0.23.