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:
The slope should be 8 1/3 which is also 25/3
Step-by-step explanation:
Answer:
12.25 M^2(square) 12.56 M^2(circle)
Step-by-step explanation:
side of square= 3.5 M
area of square garden= side*side
=3.5*3.5
=12.25 M^2
Diameter of circle=4 M
Radius of circle=Diameter/2
=4/2
=2
Area of circle garden= 2(pi)r^2(where r is radius)
=3.14*2*2
=12.56 M^2
