Question

Lim n->бесконечность 5n+1/7-9n

Answer 1

Lim n->∞ (5n+1)/(7-9n) = Lim n->∞ (5n/n+1/n)/(7/n-9n/n) = (5+0)/(0-9)=-5/9

делим на n

Answer 2

To find the limit of the expression as n approaches infinity, let's simplify it first:

lim(n->∞) [(5n + 1) / (7 - 9n)]

As n approaches infinity, the term with the highest power of n dominates the expression. In this case, it's the term with -9n in the denominator. So, we can ignore other terms in the numerator and denominator:

lim(n->∞) [-9n]

Now, the limit of -9n as n approaches infinity is negative infinity:

lim(n->∞) [-9n] = -∞

Therefore, the limit of the original expression as n approaches infinity is negative infinity (-∞).