Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→1 3x x − 1 − 3 ln(x)

Step-by-step explanation:

Given the limit of a function expressed as , we are to evaluate it. To evaluate it, we will simply substitute x = 1 into the function since the variable x tends to 1.

Since we got an indeterminate function, we will find the LCM of the function and solve again.

Applying L'hospital rule;

Applying L'hospital rule again;

Hence the limit of the function is 3/2.

32

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;