lim (n→∞)(n^2(1/(n^2+1)+3/(n^2+3)+5/(n^2+5)...99/(n^2+99))

求lim n→∞ (1+2/n)^n+3 lim(3^2n+5^n)/(1+9^n) lim[(n+3)/(n+1))]^(n-2) 【n无穷大】 求极限lim [ 2^(n+1)+3^(n+1)]/2^n+3^n (n→∞) lim(n→∞)[1/(3n+1)+1/(3n+2)+~1/(3n+n)] lim n →∞ (1^n+3^n+2^n)^1/n,求数列极限 求极限lim(x→∞)（1/n+2/n+3/n..+n/n） lim (n→∞)(n^2(1/(n^2+1)+3/(n^2+3)+5/(n^2+5)...99/(n^2+99)) lim 9^n+4^n+2/5^n-3^2n-1 n趋于无穷大时 lim((5^n-4^(n-1))/((5^(n+1)+3^(n+2)) n→∞时的极限是多少? lim(n→∞) （n+1）(n+2) (n+3)/5n3次方+n 的极限? 证明不等式：(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n