Question

Can you solve these questions?
L(x)=?
ln1.23=?

Answer 1

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.