Statement 1: For every natural number `ngeq2` , `1/(sqrt(1))+1/(sqrt(2))+...+1/(sqrt(n))>sqrt(n)` . Statement 2: For every natural number `ngeq2,""n(n+1)

Statement-1: For every natural number nge2 , (1)/(sqrt(1))+(1)/(sqrt(2))+(1)/(sqrt(3))+...+(1)/(sqrt(n))gtsqrt(n) Statement-2: For every natural number nge2, sqrt(n(n+1))ltn+1

For all n in N,1+(1)/(sqrt(2))+(1)/(sqrt(3))+(1)/(sqrt(4))++(1)/(sqrt(n))

Property 8 For every natural number n(n+1)^(2)-n^(2)=(n+1)+n

lim_(n rarr4)(sqrt(2n+1)-3)/(sqrt(n-1)-sqrt(2))

sum_(n=1)^(oo)(1)/(sqrt(n)+sqrt(n+1))

lim_(n to oo)[(sqrt(n+1)+sqrt(n+2)+....+sqrt(2n))/(n sqrt((n)))]