数列的极限 证明当n趋向于无穷大,证明根号n+1减去根号n的值趋向于零,用数列极限的定义证明
2019-06-02
数列的极限 证明
当n趋向于无穷大,证明根号n+1减去根号n的值趋向于零,用数列极限的定义证明
优质解答
根号n+1减去根号n
=1/(根号n+1加根号n)
因为当n趋向于无穷大,根号n+1加根号n趋向于无穷大.
所以当n趋向于无穷大,根号n+1减去根号n的值趋向于零.
根号n+1减去根号n
=1/(根号n+1加根号n)
因为当n趋向于无穷大,根号n+1加根号n趋向于无穷大.
所以当n趋向于无穷大,根号n+1减去根号n的值趋向于零.