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
5. We can see that angle a is the same angle as the 130° angle, since they form a Z. The same goes for b and 65°. a° = 130°, b° = 65°
6. With the same Z angles, b° = 56°. Because the angles are parallel, a° = 124°
7. Because the angles are parallel, b° = 83°, and a° = 132°
8. Because the angles are Z angles, a° = 74°. Because a° and b° are supplementary angles, b° = 180° - 74° = 106°. Because c° and 74° are supplementary angles, c° = 180° - 74° = 106°. Because d° and 65° are parallel angles, d° = 65°. Because d° and e° are opposite angles, e° = 65°
Answer: h = 14.1 ft
Step-by-step explanation:
The given triangle is an isosceles right angle triangle because the two sides or legs of the triangle are equal. To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Hypotenuse = 20ft
opposite side = adjacent side = h feet
Therefore
20² = h² + h²
400 = 2h²
h² = 400/2 = 200
Taking square root of both sides, it becomes
h = √200
h = 14.1 ft
You see, start at 1 and 1/3, and since the denominator is different from 1/6, find an equivalent fraction. Which is 1 and 2/6, now subtract 1/6 from that number. The answer is 1 and 1/6
