(a) Explain why the statement “one-fifth of all numbers are congruent to 2 modulo 5” makes sense by using the counting function
F(x) = #{positive numbers n ≤ x satisfying n ≡ 2 (mod 5)}.
(b) Explain why the statement “most numbers are not squares” makes sense by using the counting function
S(x) = #{square numbers less than x}.
Find a simple function of x that is approximately equal to S(x) when x is large.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.