Limit of (ln (1 + x))/x
How to use the limit of Limit of (ln (1 + x))/x to solve the given limit with a logarithmic function: formula, 1 example, and its solution.
The limit of (ln (1 + x))/x as x → 0 is
First write the limit part and [ln (1 + 2x)].
The inner part of [ln (1 + 2x)] is (1 + 2x).
So write 2x
in the denominator.
The denominator of the given expression is x.
But you wrote 2x.
So, to undo the denominator 2,
So (ln (1 + 2x))/x = [(ln (1 + 2x))/2x]⋅2.
As x → 0,
(ln (1 + 2x))/2x → 1
and write the constant 2.
1⋅2 = 2
So 2 is the answer.