Why is the limit to infinity of 2^n/2^n+1 = lim to infinity 1/2?

Step-by-step explanation:

lim(n→∞) (2ⁿ / 2ⁿ⁺¹)

lim(n→∞) (2ⁿ / (2ⁿ × 2¹))

lim(n→∞) (1 / 2)

1/2

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: