Advertisements
Advertisements
Question
`lim_(n -> oo) (1 + 2 + 3 + ... + n)/n^2`, n ∈ N, is equal to ______.
Options
0
1
`1/2`
`1/4`
MCQ
Fill in the Blanks
Solution
`lim_(n -> oo) (1 + 2 + 3 + ... + n)/n^2`, n ∈ N, is equal to `1/2`.
Explanation:
As `lim_(x -> oo) (1 + 2 + 3 + ... + n)/n^2`
= `lim_(n -> oo) (n(n + 1))/(2n^2)`
= `lim_(x -> oo) 1/2 1 + 1/n`
= `1/2`
shaalaa.com
Derive Derivation of x^n
Is there an error in this question or solution?
