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:
0.706
Step-by-step explanation:
Felicity started in games = 569
Total number of games = 805
=> Fraction = 569/805
=> Fraction = 0.706
Answer:
Step-by-step explanation:
the slope is the change in y over the change in x
From the points given, your y's are 10 and 1.
From the points given, your x's are 7 and 2. To find the changes subtract them.
=
The rope is 3 yards.
1 yard = 3 feet, so 9 ÷ 3 = 3 yards.
To know if a dilation is an expansion ( bigger) r a contraction ( smaller) ignore the negative sign.
If the number is larger than 1, it is an expansion, if the number is smaller than 1 it is a contraction.
-4 is an expansion
2.5 is an expansion
2/3 is a contraction
-3/4 is a contraction
