Lim ln([(x+1)/x]^3x) as x ->.infinity =lim ln([(x+1)^(3x)]/[x^(3x)]) as s->infinity =lim ln((x+1)^(3x))-ln(x^(3x)) = infinity - infinity
your answer is e3 but you can use l'hopital if you liketake the log, get 3xln(1+1/x)which is in the form ∞×0 then use the usual trick of rewriting as ln(1+1/x)/1/3x
Answer:
Step-by-step explanation:
Complement of the event

Answer:
d. Yes. All conditions for inference have been met.
Step-by-step explanation:
A study was conducted to investigate the effectiveness of a new drug whether it could significantly reduce pan in people with arthritis.
From a group of 500 people with arthritis 250 were randomly assigned to receive the drug (group 1) and the remaining people were assigned a placebo (group 2).
It is given that the people in the study were selected randomly.
The pooled proportion is given by
Pe = no. of people who reported pain relief in both groups/total number of people
Pe = (225 + 150)/500
Pe = 375/500
Pe = 0.75
Now let us check the condition np ≥ 10
250*0.75
187.5 ≥ 10
Satisfied
Now let us check the condition n(1 - p) ≥ 10
250(1 - 0.75)
250*0.25
62.5 > 10
Satisfied
Therefore, all conditions for inference have been met option d is the correct option.
simplifying
we get 
Step-by-step explanation:
We need to simplify: 
Solving:
Applying the rule:
log a + log b = log(ab)

So, simplifying
we get 
Keywords: Simplifying Logarithms
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Answer:
3 pieces of strawberry cake
Step-by-step explanation:
Given data shows they took six pieces and then 9 more.
2/6 or 1/3 were strawberry cake.
1/3 of 9 = 3 pieces of strawberry cake