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:
425+250 times 8.3%
Step-by-step explanation:
The equation of a circle:
(h,k) - the coordinates of the center
r - the radius
The center is (4,0), the length of the radius is 2√3.
i think the answer is 35 but i am not 100% sure
Since there are 28 tens which is basically 28 rows of 10 all you have to do is 28 times 10. Whatever number times ten has a 0 after it so the answer is 280
