Lim as h approaches 0 (ln(4+h) - ln(4)) / h

0.25

Step-by-step explanation:

The given limit problem is

On applying limit, we get

It is a 0/0 form.

Now, apply L' Hospital rule.

On applying limit, we get

Therefore, the value of given limit problem is 0.25.

the answer is d

step-by-step explanation:

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5