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
Answer:
1
Step-by-step explanation:
split the shape to triangle and a rectangle
the rectangle at the original trapezoid has 2 squares in width and 3 squares for height multiply those numbers by 1/2 you will get 1 square for width and 1.5 squares for the height which is showen in option 1
Answer: no
because using Pytago theorem, we have:
20² + 40² ≠ 80²
80² + 20² ≠ 40²
80² + 40 ² ≠ 20²
Step-by-step explanation:
Answer:
60 hand shakes.
Step-by-step explanation:
We have been given that there are 6 married couples at a party.
This means there are 12 people in total.
We know that number of handshakes for n people is given by formula
.
We are also told that at the start of the party every person shakes hands once with every other person except his or her spouse.
So formula for this problem would be
or
.
Since total numbers of people is party is 12, so we will get:



Therefore, there will be 60 hand shakes at the party.
Answer: 9.95*10^6
^^used scientific notation