Limits

Question 1

lim 1/n = ?

Answer 1

lim 1/n = 0
since the denominator grows larger & larger while the numerator remains a constant

Question 2

lim n = ?

Answer 2

+∞
since n grows to infinity

Question 3

lim log_2 n =?

Answer 3

+∞ since log_2 (x) is a slowly growing function

Question 4

In what order do functions grow, from slowest to fastest

Answer 4

constants «_space;logarithms «_space;polynomials «_space;exponentials «_space;factorial
n «_space;log_2 n «_space;n^2 «_space;2^n «_space;n!

Question 5

lim log_2 (1/n) =?

Answer 5

-∞