Question

use the def of limits to prove that the limit of 1/ (n)^2 is 0

Answer 1

i think u are missing the "as n approaches...." part; plz look at ur Q again

Answer 2

I'm not sure but this might help you out: http://www.wolframalpha.com/input/?i=1%2F+%28n%29%5E2

Answer 3

lim(n->∞) 1/n² = 0

Let ε > 0, we need to show that there exists a natural number N such that

whenever n ≥ N it follows that |1/n² - 0| < ε

|1/n²| < ε

because n > 0,

1/n² < ε

n² > 1/ε

n > 1/√ε

from above, we can easily see that we need to choose N > 1/√ε