Answer:
3
Step-by-step explanation:
lim(t→∞) [t ln(1 + 3/t) ]
If we evaluate the limit, we get:
∞ ln(1 + 3/∞)
∞ ln(1 + 0)
∞ 0
This is undetermined. To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.
lim(t→∞) [t ln(1 + 3/t) ]
lim(t→∞) [ln(1 + 3/t) / (1/t)]
This evaluates to 0/0. We can simplify a little with u substitution:
lim(u→0) [ln(1 + 3u) / u]
Applying L'Hopital's rule:
lim(u→0) [1/(1 + 3u) × 3 / 1]
lim(u→0) [3 / (1 + 3u)]
3 / (1 + 0)
3
Answer:
909 cents
Step-by-step explanation:
There are 100 cents in 1 dollar
9.09 dollars * 100 cents = 909 cents
Answer:
Joe makes 5 dollars a week
Step-by-step explanation:
Joe started with 173 so you will subtract that from the total
208-173=35
You will then divide that number by the number of weeks he has worked
35÷7=5
Therefore joe makes 5 dollars a week
Answer:
ef`
Step-by-step explanation:
e^4xf÷e^3xf^2
e^4f÷e^3f^2
ef`
Answer:
(-11, 1)
Step-by-step explanation:
moving to the left by 4 means -7 - 4 = -11
up one unit changes the 0 to 1
